(x+8)(4x+3)=0

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Solution for (x+8)(4x+3)=0 equation:


Simplifying
(x + 8)(4x + 3) = 0

Reorder the terms:
(8 + x)(4x + 3) = 0

Reorder the terms:
(8 + x)(3 + 4x) = 0

Multiply (8 + x) * (3 + 4x)
(8(3 + 4x) + x(3 + 4x)) = 0
((3 * 8 + 4x * 8) + x(3 + 4x)) = 0
((24 + 32x) + x(3 + 4x)) = 0
(24 + 32x + (3 * x + 4x * x)) = 0
(24 + 32x + (3x + 4x2)) = 0

Combine like terms: 32x + 3x = 35x
(24 + 35x + 4x2) = 0

Solving
24 + 35x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + x)(3 + 4x) = 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {-8, -0.75}

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