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Simplifying (2x + 6)(3x + -6)(4298x) = 0 Reorder the terms: (6 + 2x)(3x + -6)(4298x) = 0 Reorder the terms: (6 + 2x)(-6 + 3x)(4298x) = 0 Remove parenthesis around (4298x) (6 + 2x)(-6 + 3x) * 4298x = 0 Reorder the terms for easier multiplication: 4298x(6 + 2x)(-6 + 3x) = 0 Multiply (6 + 2x) * (-6 + 3x) 4298x(6(-6 + 3x) + 2x * (-6 + 3x)) = 0 4298x((-6 * 6 + 3x * 6) + 2x * (-6 + 3x)) = 0 4298x((-36 + 18x) + 2x * (-6 + 3x)) = 0 4298x(-36 + 18x + (-6 * 2x + 3x * 2x)) = 0 4298x(-36 + 18x + (-12x + 6x2)) = 0 Combine like terms: 18x + -12x = 6x 4298x(-36 + 6x + 6x2) = 0 (-36 * 4298x + 6x * 4298x + 6x2 * 4298x) = 0 (-154728x + 25788x2 + 25788x3) = 0 Solving -154728x + 25788x2 + 25788x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25788x'. 25788x(-6 + x + x2) = 0 Factor a trinomial. 25788x((-3 + -1x)(2 + -1x)) = 0 Ignore the factor 25788.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, -3, 2}
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