(8+x)(x+4)=0

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Solution for (8+x)(x+4)=0 equation:


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

Reorder the terms:
(8 + x)(4 + x) = 0

Multiply (8 + x) * (4 + x)
(8(4 + x) + x(4 + x)) = 0
((4 * 8 + x * 8) + x(4 + x)) = 0
((32 + 8x) + x(4 + x)) = 0
(32 + 8x + (4 * x + x * x)) = 0
(32 + 8x + (4x + x2)) = 0

Combine like terms: 8x + 4x = 12x
(32 + 12x + x2) = 0

Solving
32 + 12x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

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 = {-8, -4}

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