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Simplifying
x(x + 5) + -9 = 5x + 16
Reorder the terms:
x(5 + x) + -9 = 5x + 16
(5 * x + x * x) + -9 = 5x + 16
(5x + x2) + -9 = 5x + 16
Reorder the terms:
-9 + 5x + x2 = 5x + 16
Reorder the terms:
-9 + 5x + x2 = 16 + 5x
Add '-5x' to each side of the equation.
-9 + 5x + -5x + x2 = 16 + 5x + -5x
Combine like terms: 5x + -5x = 0
-9 + 0 + x2 = 16 + 5x + -5x
-9 + x2 = 16 + 5x + -5x
Combine like terms: 5x + -5x = 0
-9 + x2 = 16 + 0
-9 + x2 = 16
Solving
-9 + x2 = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + x2 = 16 + 9
Combine like terms: -9 + 9 = 0
0 + x2 = 16 + 9
x2 = 16 + 9
Combine like terms: 16 + 9 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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