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Simplifying (4X + -6) * OR(2X + 9) = 0 Reorder the terms: (-6 + 4X) * OR(2X + 9) = 0 Reorder the terms: (-6 + 4X) * OR(9 + 2X) = 0 Reorder the terms for easier multiplication: OR(-6 + 4X)(9 + 2X) = 0 Multiply (-6 + 4X) * (9 + 2X) OR(-6(9 + 2X) + 4X * (9 + 2X)) = 0 OR((9 * -6 + 2X * -6) + 4X * (9 + 2X)) = 0 OR((-54 + -12X) + 4X * (9 + 2X)) = 0 OR(-54 + -12X + (9 * 4X + 2X * 4X)) = 0 OR(-54 + -12X + (36X + 8X2)) = 0 Combine like terms: -12X + 36X = 24X OR(-54 + 24X + 8X2) = 0 (-54 * OR + 24X * OR + 8X2 * OR) = 0 (-54OR + 24ORX + 8ORX2) = 0 Solving -54OR + 24ORX + 8ORX2 = 0 Solving for variable 'O'. Move all terms containing O to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2OR'. 2OR(-27 + 12X + 4X2) = 0 Factor a trinomial. 2OR((-9 + -2X)(3 + -2X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'OR' equal to zero and attempt to solve: Simplifying OR = 0 Solving OR = 0 Move all terms containing O to the left, all other terms to the right. Simplifying OR = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + -2X)' equal to zero and attempt to solve: Simplifying -9 + -2X = 0 Solving -9 + -2X = 0 Move all terms containing O to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2X = 0 + 9 -2X = 0 + 9 Combine like terms: 0 + 9 = 9 -2X = 9 Add '2X' to each side of the equation. -2X + 2X = 9 + 2X Combine like terms: -2X + 2X = 0 0 = 9 + 2X Simplifying 0 = 9 + 2X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -2X)' equal to zero and attempt to solve: Simplifying 3 + -2X = 0 Solving 3 + -2X = 0 Move all terms containing O 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 Add '2X' to each side of the equation. -2X + 2X = -3 + 2X Combine like terms: -2X + 2X = 0 0 = -3 + 2X Simplifying 0 = -3 + 2X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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