Solve this quadratic by factoring 5x^2+7x=x^2+2 pls show work and how to do it! thank you!!!!!

Question

asked Nov 25, 2022 188k views

2 Answers

Mazel Tov · Answer 1 · 2022-12-02T05:59:28+0000

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.

$x_(1,\:2)=(-7\pm √(7^2-4\cdot \:4\left(-2\right)))/(2\cdot \:4)$

$x_1=(-7+9)/(2\cdot \:4),\:x_2=(-7-9)/(2\cdot \:4)$

$x=(1)/(4),\:x=-2$

Hope this helps!

Step 2: Factor the left side of the equation.