0=3x^2+24x+36

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Solution for 0=3x^2+24x+36 equation:


Simplifying
0 = 3x2 + 24x + 36

Reorder the terms:
0 = 36 + 24x + 3x2

Solving
0 = 36 + 24x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -36 = -36
-36 + -24x + -3x2 = 36 + 24x + 3x2 + -36 + -24x + -3x2

Reorder the terms:
-36 + -24x + -3x2 = 36 + -36 + 24x + -24x + 3x2 + -3x2

Combine like terms: 36 + -36 = 0
-36 + -24x + -3x2 = 0 + 24x + -24x + 3x2 + -3x2
-36 + -24x + -3x2 = 24x + -24x + 3x2 + -3x2

Combine like terms: 24x + -24x = 0
-36 + -24x + -3x2 = 0 + 3x2 + -3x2
-36 + -24x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-36 + -24x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(12 + 8x + x2) = 0

Factor a trinomial.
-3((6 + x)(2 + x)) = 0

Ignore the factor -3.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-6, -2}

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