216=x^2+6x

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Solution for 216=x^2+6x equation:


Simplifying
216 = x2 + 6x

Reorder the terms:
216 = 6x + x2

Solving
216 = 6x + x2

Solving for variable 'x'.

Reorder the terms:
216 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
216 + -6x + -1x2 = 0 + x2 + -1x2
216 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
216 + -6x + -1x2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 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 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18

Solution

x = {12, -18}

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