(x+6)(x+2)=140

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Solution for (x+6)(x+2)=140 equation:


Simplifying
(x + 6)(x + 2) = 140

Reorder the terms:
(6 + x)(x + 2) = 140

Reorder the terms:
(6 + x)(2 + x) = 140

Multiply (6 + x) * (2 + x)
(6(2 + x) + x(2 + x)) = 140
((2 * 6 + x * 6) + x(2 + x)) = 140
((12 + 6x) + x(2 + x)) = 140
(12 + 6x + (2 * x + x * x)) = 140
(12 + 6x + (2x + x2)) = 140

Combine like terms: 6x + 2x = 8x
(12 + 8x + x2) = 140

Solving
12 + 8x + x2 = 140

Solving for variable 'x'.

Reorder the terms:
12 + -140 + 8x + x2 = 140 + -140

Combine like terms: 12 + -140 = -128
-128 + 8x + x2 = 140 + -140

Combine like terms: 140 + -140 = 0
-128 + 8x + x2 = 0

Factor a trinomial.
(-16 + -1x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-16, 8}

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