324=15x+x^2

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Solution for 324=15x+x^2 equation:


Simplifying
324 = 15x + x2

Solving
324 = 15x + x2

Solving for variable 'x'.

Reorder the terms:
324 + -15x + -1x2 = 15x + -15x + x2 + -1x2

Combine like terms: 15x + -15x = 0
324 + -15x + -1x2 = 0 + x2 + -1x2
324 + -15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
324 + -15x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(27 + 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 '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27

Solution

x = {12, -27}

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