x(x+2)-8=2x+17

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Solution for x(x+2)-8=2x+17 equation: 


Simplifying
x(x + 2) + -8 = 2x + 17

Reorder the terms:
x(2 + x) + -8 = 2x + 17
(2 * x + x * x) + -8 = 2x + 17
(2x + x2) + -8 = 2x + 17

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

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

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

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

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

Solving
-8 + x2 = 17

Solving for variable 'x'.

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

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

Combine like terms: -8 + 8 = 0
0 + x2 = 17 + 8
x2 = 17 + 8

Combine like terms: 17 + 8 = 25
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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