Question

Solve this quadratic by factoring

5x^2+7x=x^2+2
pls show work and how to do it! thank you!!!!!

Answer 1

Explanation:

pls click on the pic for full answers

Answer 2

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.