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Simplifying
x(x + 6) = 6(x + 6)
Reorder the terms:
x(6 + x) = 6(x + 6)
(6 * x + x * x) = 6(x + 6)
(6x + x2) = 6(x + 6)
Reorder the terms:
6x + x2 = 6(6 + x)
6x + x2 = (6 * 6 + x * 6)
6x + x2 = (36 + 6x)
Add '-6x' to each side of the equation.
6x + -6x + x2 = 36 + 6x + -6x
Combine like terms: 6x + -6x = 0
0 + x2 = 36 + 6x + -6x
x2 = 36 + 6x + -6x
Combine like terms: 6x + -6x = 0
x2 = 36 + 0
x2 = 36
Solving
x2 = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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