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Simplifying (-1x + 6)(4x + -6) = 0 Reorder the terms: (6 + -1x)(4x + -6) = 0 Reorder the terms: (6 + -1x)(-6 + 4x) = 0 Multiply (6 + -1x) * (-6 + 4x) (6(-6 + 4x) + -1x * (-6 + 4x)) = 0 ((-6 * 6 + 4x * 6) + -1x * (-6 + 4x)) = 0 ((-36 + 24x) + -1x * (-6 + 4x)) = 0 (-36 + 24x + (-6 * -1x + 4x * -1x)) = 0 (-36 + 24x + (6x + -4x2)) = 0 Combine like terms: 24x + 6x = 30x (-36 + 30x + -4x2) = 0 Solving -36 + 30x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 15x + -2x2) = 0 Factor a trinomial. 2((-6 + x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {6, 1.5}
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