(x+3)(x+13)=0

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Solution for (x+3)(x+13)=0 equation:


Simplifying
(x + 3)(x + 13) = 0

Reorder the terms:
(3 + x)(x + 13) = 0

Reorder the terms:
(3 + x)(13 + x) = 0

Multiply (3 + x) * (13 + x)
(3(13 + x) + x(13 + x)) = 0
((13 * 3 + x * 3) + x(13 + x)) = 0
((39 + 3x) + x(13 + x)) = 0
(39 + 3x + (13 * x + x * x)) = 0
(39 + 3x + (13x + x2)) = 0

Combine like terms: 3x + 13x = 16x
(39 + 16x + x2) = 0

Solving
39 + 16x + x2 = 0

Solving for variable 'x'.

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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