3x(x+7)+36=0

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Solution for 3x(x+7)+36=0 equation:


Simplifying
3x(x + 7) + 36 = 0

Reorder the terms:
3x(7 + x) + 36 = 0
(7 * 3x + x * 3x) + 36 = 0
(21x + 3x2) + 36 = 0

Reorder the terms:
36 + 21x + 3x2 = 0

Solving
36 + 21x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + 7x + x2) = 0

Factor a trinomial.
3((4 + x)(3 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-4, -3}

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