(x+4)(x+12)=9

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Solution for (x+4)(x+12)=9 equation:


Simplifying
(x + 4)(x + 12) = 9

Reorder the terms:
(4 + x)(x + 12) = 9

Reorder the terms:
(4 + x)(12 + x) = 9

Multiply (4 + x) * (12 + x)
(4(12 + x) + x(12 + x)) = 9
((12 * 4 + x * 4) + x(12 + x)) = 9
((48 + 4x) + x(12 + x)) = 9
(48 + 4x + (12 * x + x * x)) = 9
(48 + 4x + (12x + x2)) = 9

Combine like terms: 4x + 12x = 16x
(48 + 16x + x2) = 9

Solving
48 + 16x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
48 + -9 + 16x + x2 = 9 + -9

Combine like terms: 48 + -9 = 39
39 + 16x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
39 + 16x + x2 = 0

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

Subproblem 1

Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13

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 = {-13, -3}

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