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Simplifying (5x + 6)(4x + -2) = 0 Reorder the terms: (6 + 5x)(4x + -2) = 0 Reorder the terms: (6 + 5x)(-2 + 4x) = 0 Multiply (6 + 5x) * (-2 + 4x) (6(-2 + 4x) + 5x * (-2 + 4x)) = 0 ((-2 * 6 + 4x * 6) + 5x * (-2 + 4x)) = 0 ((-12 + 24x) + 5x * (-2 + 4x)) = 0 (-12 + 24x + (-2 * 5x + 4x * 5x)) = 0 (-12 + 24x + (-10x + 20x2)) = 0 Combine like terms: 24x + -10x = 14x (-12 + 14x + 20x2) = 0 Solving -12 + 14x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 7x + 10x2) = 0 Factor a trinomial. 2((-6 + -5x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.2Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-1.2, 0.5}
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