# What is the only solution of 2x^{2} + 8x = x^{2} - 16?

**Solution:**

Given __equation__ is 2x^{2} + 8x = x^{2} - 16

We can write it as 2x^{2} - x^{2} + 8x + 16 = 0

=> x^{2} + 8x + 16 = 0

This is a __quadratic equation__ in x

x^{2} + 4x + 4x + 16 = 0

x(x + 4) + 4(x + 4) = 0

(x + 4)(x + 4) = 0

x = -4, -4

Therefore, the solution for the given equation is -4, -4.

## What is the only solution of 2x^{2} + 8x = x^{2} - 16?

**Summary:**

The only solution of 2x^{2} + 8x = x^{2} - 16 is -4.

Math worksheets and

visual curriculum

visual curriculum