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Simplifying (3x + 4)(4x + -3) = 0 Reorder the terms: (4 + 3x)(4x + -3) = 0 Reorder the terms: (4 + 3x)(-3 + 4x) = 0 Multiply (4 + 3x) * (-3 + 4x) (4(-3 + 4x) + 3x * (-3 + 4x)) = 0 ((-3 * 4 + 4x * 4) + 3x * (-3 + 4x)) = 0 ((-12 + 16x) + 3x * (-3 + 4x)) = 0 (-12 + 16x + (-3 * 3x + 4x * 3x)) = 0 (-12 + 16x + (-9x + 12x^{2})) = 0 Combine like terms: 16x + -9x = 7x (-12 + 7x + 12x^{2}) = 0 Solving -12 + 7x + 12x^{2}= 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(3 + -4x) = 0## Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333## 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 = {-1.333333333, 0.75}

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