x^2+30x+216=216

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Solution for x^2+30x+216=216 equation:


Simplifying
x2 + 30x + 216 = 216

Reorder the terms:
216 + 30x + x2 = 216

Add '-216' to each side of the equation.
216 + 30x + -216 + x2 = 216 + -216

Reorder the terms:
216 + -216 + 30x + x2 = 216 + -216

Combine like terms: 216 + -216 = 0
0 + 30x + x2 = 216 + -216
30x + x2 = 216 + -216

Combine like terms: 216 + -216 = 0
30x + x2 = 0

Solving
30x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(30 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30

Solution

x = {0, -30}

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