(x+6)x=216

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Solution for (x+6)x=216 equation:


Simplifying
(x + 6) * x = 216

Reorder the terms:
(6 + x) * x = 216

Reorder the terms for easier multiplication:
x(6 + x) = 216
(6 * x + x * x) = 216
(6x + x2) = 216

Solving
6x + x2 = 216

Solving for variable 'x'.

Reorder the terms:
-216 + 6x + x2 = 216 + -216

Combine like terms: 216 + -216 = 0
-216 + 6x + x2 = 0

Factor a trinomial.
(-18 + -1x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-18, 12}

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