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Simplifying
x(x + 4) = 4(x + 16)
Reorder the terms:
x(4 + x) = 4(x + 16)
(4 * x + x * x) = 4(x + 16)
(4x + x2) = 4(x + 16)
Reorder the terms:
4x + x2 = 4(16 + x)
4x + x2 = (16 * 4 + x * 4)
4x + x2 = (64 + 4x)
Add '-4x' to each side of the equation.
4x + -4x + x2 = 64 + 4x + -4x
Combine like terms: 4x + -4x = 0
0 + x2 = 64 + 4x + -4x
x2 = 64 + 4x + -4x
Combine like terms: 4x + -4x = 0
x2 = 64 + 0
x2 = 64
Solving
x2 = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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