x(x+4)+13(x+4)=0

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Solution for x(x+4)+13(x+4)=0 equation:


Simplifying
x(x + 4) + 13(x + 4) = 0

Reorder the terms:
x(4 + x) + 13(x + 4) = 0
(4 * x + x * x) + 13(x + 4) = 0
(4x + x2) + 13(x + 4) = 0

Reorder the terms:
4x + x2 + 13(4 + x) = 0
4x + x2 + (4 * 13 + x * 13) = 0
4x + x2 + (52 + 13x) = 0

Reorder the terms:
52 + 4x + 13x + x2 = 0

Combine like terms: 4x + 13x = 17x
52 + 17x + x2 = 0

Solving
52 + 17x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(13 + x)(4 + 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 '(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

Solution

x = {-13, -4}

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