(4x+12)(x+11)=

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Solution for (4x+12)(x+11)= equation:


Simplifying
(4x + 12)(x + 11) = 0

Reorder the terms:
(12 + 4x)(x + 11) = 0

Reorder the terms:
(12 + 4x)(11 + x) = 0

Multiply (12 + 4x) * (11 + x)
(12(11 + x) + 4x * (11 + x)) = 0
((11 * 12 + x * 12) + 4x * (11 + x)) = 0
((132 + 12x) + 4x * (11 + x)) = 0
(132 + 12x + (11 * 4x + x * 4x)) = 0
(132 + 12x + (44x + 4x2)) = 0

Combine like terms: 12x + 44x = 56x
(132 + 56x + 4x2) = 0

Solving
132 + 56x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(33 + 14x + x2) = 0

Factor a trinomial.
4((11 + x)(3 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

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 = {-11, -3}

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