10.2 Solving quadratic equations by factoring

$\left(x-7\right)\left(x+4\right)=0$

$\left(2x+5\right)\left(5x-7\right)=0$

$x^2+2x-24=0$

$6x^2+13x-5=0$

$5y^2+2y=3$

$m\left(2m-11\right)=0$

$6p^2=-\left(5p+1\right)$

$r^2-49=0$

Solve $\left(9x+2\right)\left(7x-3\right)=0$ using this mental method.

$\left(x+1\right)\left(x+3\right)=0$

$\left(x+4\right)\left(x+9\right)=0$

$\left(x-5\right)\left(x-1\right)=0$

$\left(x-6\right)\left(x-3\right)=0$

$\left(x-4\right)\left(x+2\right)=0$

$\left(x+6\right)\left(x-1\right)=0$

$\left(2x+1\right)\left(x-7\right)=0$

$\left(3x+2\right)\left(x-1\right)=0$

$\left(4x+3\right)\left(3x-2\right)=0$

$\left(5x-1\right)\left(4x+7\right)=0$

$\left(6x+5\right)\left(9x-4\right)=0$

$\left(3a+1\right)\left(3a-1\right)=0$

$x\left(x+4\right)=0$

$y\left(y-5\right)=0$

$y\left(3y-4\right)=0$

$b\left(4b+5\right)=0$

$x\left(2x+1\right)\left(2x+8\right)=0$

$y\left(5y+2\right)\left(2y-1\right)=0$

${\left(x-8\right)}^2=0$

${\left(x-2\right)}^2=0$

${\left(b+7\right)}^2=0$

${\left(a+1\right)}^2=0$

$x{\left(x-4\right)}^2=0$

$y{\left(y+9\right)}^2=0$

$y{\left(y-7\right)}^2=0$

$y{\left(y+5\right)}^2=0$

$x^2-4=0$

$x^2+9=0$

$x^2+36=0$

$x^2-25=0$

$a^2-100=0$

$a^2-81=0$

$b^2-49=0$

$y^2-1=0$

$3a^2-75=0$

$5b^2-20=0$

$y^3-y=0$

$a^2=9$

$b^2=4$

$b^2=1$

$a^2=36$

$3a^2=12$

$-2x^2=-4$

$-2a^2=-50$

$-7b^2=-63$

$-2x^2=-32$

$3b^2=48$

$a^2-8a+16=0$

$y^2+10y+25=0$

$y^2+9y+16=0$

$x^2-2x-1=0$

$a^2+6a+9=0$

$a^2+4a+4=0$

$x^2+12x=-36$

$b^2-14b=-49$

$3a^2+18a+27=0$

$2m^3+4m^2+2m=0$

$3m{n}^2-36mn+36m=0$

$a^2+2a-3=0$

$a^2+3a-10=0$

$x^2+9x+14=0$

$x^2-7x+12=3$

$b^2+12b+27=0$

$b^2-3b+2=0$

$x^2-13x=-42$

$a^3=-8a^2-15a$

$6a^2+13a+5=0$

$6x^2-4x-2=0$

$12a^2+15a+3=0$

$18b^2+24b+6=0$

$12a^2+24a+12=0$

$4x^2-4x=-1$

$2x^2=x+15$

$4a^2=4a+3$

$4y^2=-4y-2$

$9y^2=9y+18$

( [link] ) Simplify ${\left(x^4{y}^3\right)}^2{\left(x{y}^2\right)}^4.$

( [link] ) Write ${\left(x^{-2}{y}^3{w}^4\right)}^{-2}$ so that only positive exponents appear.

( [link] ) Find the sum: $\frac{x}{x^2-x-2}+\frac{1}{x^2-3x+2}.$

( [link] ) Simplify $\frac{\frac{1}{a}+\frac{1}{b}}{\frac{1}{a}-\frac{1}{b}}.$

( [link] ) Solve $\left(x+4\right)\left(3x+1\right)=0.$