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Simplifying
x(x + 5) + -8 = 5x + 17
Reorder the terms:
x(5 + x) + -8 = 5x + 17
(5 * x + x * x) + -8 = 5x + 17
(5x + x2) + -8 = 5x + 17
Reorder the terms:
-8 + 5x + x2 = 5x + 17
Reorder the terms:
-8 + 5x + x2 = 17 + 5x
Add '-5x' to each side of the equation.
-8 + 5x + -5x + x2 = 17 + 5x + -5x
Combine like terms: 5x + -5x = 0
-8 + 0 + x2 = 17 + 5x + -5x
-8 + x2 = 17 + 5x + -5x
Combine like terms: 5x + -5x = 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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