Let's solve this step-by-step. Here it is.
5x²+7x=x²+2
Step 1: subtract 2 from both the left and right side.
5x²+7x-2=x²+2-2
Simplify.
5x²+7x-2=x²
Step 2: subtract x² from each side.
5x²-x²+7x-2=x²-x²
Simplify.
4x²+7x-2=0
Step 3: solve using the quadratic formula.
[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:4\left(-2\right)}}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-7+9}{2\cdot \:4},\:x_2=\frac{-7-9}{2\cdot \:4}[/tex]
[tex]x=\frac{1}{4},\:x=-2[/tex]
Hope this helps!
Step 2: Factor the left side of the equation.
