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Simplifying
20 = (x + 4)(x + -4)
Reorder the terms:
20 = (4 + x)(x + -4)
Reorder the terms:
20 = (4 + x)(-4 + x)
Multiply (4 + x) * (-4 + x)
20 = (4(-4 + x) + x(-4 + x))
20 = ((-4 * 4 + x * 4) + x(-4 + x))
20 = ((-16 + 4x) + x(-4 + x))
20 = (-16 + 4x + (-4 * x + x * x))
20 = (-16 + 4x + (-4x + x2))
Combine like terms: 4x + -4x = 0
20 = (-16 + 0 + x2)
20 = (-16 + x2)
Solving
20 = -16 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
20 + -1x2 = -16 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
20 + -1x2 = -16 + 0
20 + -1x2 = -16
Add '-20' to each side of the equation.
20 + -20 + -1x2 = -16 + -20
Combine like terms: 20 + -20 = 0
0 + -1x2 = -16 + -20
-1x2 = -16 + -20
Combine like terms: -16 + -20 = -36
-1x2 = -36
Divide each side by '-1'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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