(x+6)(x+8)=168

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Solution for (x+6)(x+8)=168 equation:


Simplifying
(x + 6)(x + 8) = 168

Reorder the terms:
(6 + x)(x + 8) = 168

Reorder the terms:
(6 + x)(8 + x) = 168

Multiply (6 + x) * (8 + x)
(6(8 + x) + x(8 + x)) = 168
((8 * 6 + x * 6) + x(8 + x)) = 168
((48 + 6x) + x(8 + x)) = 168
(48 + 6x + (8 * x + x * x)) = 168
(48 + 6x + (8x + x2)) = 168

Combine like terms: 6x + 8x = 14x
(48 + 14x + x2) = 168

Solving
48 + 14x + x2 = 168

Solving for variable 'x'.

Reorder the terms:
48 + -168 + 14x + x2 = 168 + -168

Combine like terms: 48 + -168 = -120
-120 + 14x + x2 = 168 + -168

Combine like terms: 168 + -168 = 0
-120 + 14x + x2 = 0

Factor a trinomial.
(-20 + -1x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-20, 6}

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