(8x+5)(x+4)=0

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Solution for (8x+5)(x+4)=0 equation:


Simplifying
(8x + 5)(x + 4) = 0

Reorder the terms:
(5 + 8x)(x + 4) = 0

Reorder the terms:
(5 + 8x)(4 + x) = 0

Multiply (5 + 8x) * (4 + x)
(5(4 + x) + 8x * (4 + x)) = 0
((4 * 5 + x * 5) + 8x * (4 + x)) = 0
((20 + 5x) + 8x * (4 + x)) = 0
(20 + 5x + (4 * 8x + x * 8x)) = 0
(20 + 5x + (32x + 8x2)) = 0

Combine like terms: 5x + 32x = 37x
(20 + 37x + 8x2) = 0

Solving
20 + 37x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(5 + 8x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625

Solution

x = {-4, -0.625}

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