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Simplifying (4x + 4)(5x + -6) = 0 Reorder the terms: (4 + 4x)(5x + -6) = 0 Reorder the terms: (4 + 4x)(-6 + 5x) = 0 Multiply (4 + 4x) * (-6 + 5x) (4(-6 + 5x) + 4x * (-6 + 5x)) = 0 ((-6 * 4 + 5x * 4) + 4x * (-6 + 5x)) = 0 ((-24 + 20x) + 4x * (-6 + 5x)) = 0 (-24 + 20x + (-6 * 4x + 5x * 4x)) = 0 (-24 + 20x + (-24x + 20x2)) = 0 Combine like terms: 20x + -24x = -4x (-24 + -4x + 20x2) = 0 Solving -24 + -4x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -1x + 5x2) = 0 Factor a trinomial. 4((-1 + -1x)(6 + -5x)) = 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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-1, 1.2}
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