(x-2)(x+8)=39

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Solution for (x-2)(x+8)=39 equation:


Simplifying
(x + -2)(x + 8) = 39

Reorder the terms:
(-2 + x)(x + 8) = 39

Reorder the terms:
(-2 + x)(8 + x) = 39

Multiply (-2 + x) * (8 + x)
(-2(8 + x) + x(8 + x)) = 39
((8 * -2 + x * -2) + x(8 + x)) = 39
((-16 + -2x) + x(8 + x)) = 39
(-16 + -2x + (8 * x + x * x)) = 39
(-16 + -2x + (8x + x2)) = 39

Combine like terms: -2x + 8x = 6x
(-16 + 6x + x2) = 39

Solving
-16 + 6x + x2 = 39

Solving for variable 'x'.

Reorder the terms:
-16 + -39 + 6x + x2 = 39 + -39

Combine like terms: -16 + -39 = -55
-55 + 6x + x2 = 39 + -39

Combine like terms: 39 + -39 = 0
-55 + 6x + x2 = 0

Factor a trinomial.
(-11 + -1x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-11, 5}

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