10.1 Solving quadratic equations

$6x^2-4x+9=0$

$5x+8=0$

$4x^3-5x^2+x+6=8$

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

$\frac{2}{x}-5x^2=6x+4$

$9x^2-2x+6=4x^2+8$

$6\left(a-4\right)=0$

$\left(y+6\right)\left(y-7\right)=0$

$\left(x+5\right)\left(3x-4\right)=0$

$3x^2+4x-7=0$

$7x^2+2x+8=0$

$2y^2-5y+5=0$

$7a^2+a-8=0$

$-3a^2+4a-1=0$

$7b^2+3b=0$

$2x^2+5x=0$

$4y^2+9=0$

$8a^2-2a=0$

$6x^2=0$

$4y^2=0$

$5x^2-3x+9=4x^2$

$7x^2+2x+1=6x^2+x-9$

$-3x^2+4x-1=-4x^2-4x+12$

$5x-7=-3x^2$

$3x-7=-2x^2+5x$

$0=x^2+6x-1$

$9=x^2$

$x^2=9$

$0=-x^2$

$4x=0$

$16y=0$

$9a=0$

$4m=0$

$3\left(k+7\right)=0$

$8\left(y-6\right)=0$

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

$-6\left(n+15\right)=0$

$y\left(y-1\right)=0$

$a\left(a-6\right)=0$

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

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

$9\left(a-4\right)=0$

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

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

$n\left(n-10\right)=0$

$\left(y-4\right)\left(y-8\right)=0$

$\left(k-1\right)\left(k-6\right)=0$

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

$\left(y+6\right)\left(2y+1\right)=0$

$\left(x-3\right)\left(5x-6\right)=0$

$\left(5a+1\right)\left(2a-3\right)=0$

$\left(6m+5\right)\left(11m-6\right)=0$

$\left(2m-1\right)\left(3m+8\right)=0$

$\left(4x+5\right)\left(2x-7\right)=0$

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

$\left(7a+6\right)\left(7a-6\right)=0$

$\left(8x+11\right)\left(2x-7\right)=0$

$\left(5x-14\right)\left(3x+10\right)=0$

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

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

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

${\left(5m-6\right)}^2=0$

( [link] ) Factor $12ax-3x+8a-2$ by grouping.

( [link] ) Construct the graph of $6x+10y-60=0.$

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

( [link] ) Simplify $\sqrt{7}\left(\sqrt{2}+2\right).$

( [link] ) Solve the radical equation $\sqrt{3x+10}=x+4.$