## Algebra: A Combined Approach (4th Edition)

$x=-1,\frac{7}{5}$
$5x^{2}-2x=7$ Step 1: Move all terms to one side $5x^{2}-2x-7=0$ Step 2: Split the second term into two terms $5x^{2}+5x-7x-7=0$ Step 3: Factor out the common term in first two terms and then the last two terms $5x(x+1)-7(x+1)=0$ Step 4: Factor out the common term x+1 $(x+1)(5x-7)=0$ Step 5: Solve for x $x=-1,\frac{7}{5}$