x^2+6x+36=36

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Solution for x^2+6x+36=36 equation:


Simplifying
x2 + 6x + 36 = 36

Reorder the terms:
36 + 6x + x2 = 36

Add '-36' to each side of the equation.
36 + 6x + -36 + x2 = 36 + -36

Reorder the terms:
36 + -36 + 6x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
0 + 6x + x2 = 36 + -36
6x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
6x + x2 = 0

Solving
6x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {0, -6}

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