Question

What are the solutions to 7x^2+10x-3=x^2+3x

Answer 1

x = 1 / 3

x = -1.5

Explanation:

First move everything onto one side.

6x^2 + 7x - 3 = 0

Divide by 6:

x^2 + 7/6x - 0.5 = 0

Now, you can move the 0.5 to the other side because it is determined that this is not factorable.

x^2 + 7/6x = 0.5

Now you have to complete the square.

Take 1 / 2 of 7 / 6 and square it.

49 / 144

x^2 + 7/6x + 49/144 = 0.5 + 49/144

(x + 7 / 12)^2 = 121 / 144

Square root:

x + 7 / 12 = ±11 / 12

x = 1 / 3, x = -1.5