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Simplifying
(x + 8)(x + -2) = 6x
Reorder the terms:
(8 + x)(x + -2) = 6x
Reorder the terms:
(8 + x)(-2 + x) = 6x
Multiply (8 + x) * (-2 + x)
(8(-2 + x) + x(-2 + x)) = 6x
((-2 * 8 + x * 8) + x(-2 + x)) = 6x
((-16 + 8x) + x(-2 + x)) = 6x
(-16 + 8x + (-2 * x + x * x)) = 6x
(-16 + 8x + (-2x + x2)) = 6x
Combine like terms: 8x + -2x = 6x
(-16 + 6x + x2) = 6x
Add '-6x' to each side of the equation.
-16 + 6x + -6x + x2 = 6x + -6x
Combine like terms: 6x + -6x = 0
-16 + 0 + x2 = 6x + -6x
-16 + x2 = 6x + -6x
Combine like terms: 6x + -6x = 0
-16 + x2 = 0
Solving
-16 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + x2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + x2 = 0 + 16
x2 = 0 + 16
Combine like terms: 0 + 16 = 16
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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