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Simplifying (4x + -3)(4x + 4) = 0 Reorder the terms: (-3 + 4x)(4x + 4) = 0 Reorder the terms: (-3 + 4x)(4 + 4x) = 0 Multiply (-3 + 4x) * (4 + 4x) (-3(4 + 4x) + 4x * (4 + 4x)) = 0 ((4 * -3 + 4x * -3) + 4x * (4 + 4x)) = 0 ((-12 + -12x) + 4x * (4 + 4x)) = 0 (-12 + -12x + (4 * 4x + 4x * 4x)) = 0 (-12 + -12x + (16x + 16x2)) = 0 Combine like terms: -12x + 16x = 4x (-12 + 4x + 16x2) = 0 Solving -12 + 4x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + x + 4x2) = 0 Factor a trinomial. 4((-1 + -1x)(3 + -4x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = 0.75Solution
x = {-1, 0.75}
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