2x^2+8x-17=8x+15

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Solution for 2x^2+8x-17=8x+15 equation: 


Simplifying
2x2 + 8x + -17 = 8x + 15

Reorder the terms:
-17 + 8x + 2x2 = 8x + 15

Reorder the terms:
-17 + 8x + 2x2 = 15 + 8x

Add '-8x' to each side of the equation.
-17 + 8x + -8x + 2x2 = 15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-17 + 0 + 2x2 = 15 + 8x + -8x
-17 + 2x2 = 15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-17 + 2x2 = 15 + 0
-17 + 2x2 = 15

Solving
-17 + 2x2 = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '17' to each side of the equation.
-17 + 17 + 2x2 = 15 + 17

Combine like terms: -17 + 17 = 0
0 + 2x2 = 15 + 17
2x2 = 15 + 17

Combine like terms: 15 + 17 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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