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Simplifying X(6x + 1)(x + -9) = 0 Reorder the terms: X(1 + 6x)(x + -9) = 0 Reorder the terms: X(1 + 6x)(-9 + x) = 0 Multiply (1 + 6x) * (-9 + x) X(1(-9 + x) + 6x * (-9 + x)) = 0 X((-9 * 1 + x * 1) + 6x * (-9 + x)) = 0 X((-9 + 1x) + 6x * (-9 + x)) = 0 X(-9 + 1x + (-9 * 6x + x * 6x)) = 0 X(-9 + 1x + (-54x + 6x2)) = 0 Combine like terms: 1x + -54x = -53x X(-9 + -53x + 6x2) = 0 (-9 * X + -53x * X + 6x2 * X) = 0 (-9X + -53xX + 6x2X) = 0 Solving -9X + -53xX + 6x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X'. X(-9 + -53x + 6x2) = 0 Factor a trinomial. X((-1 + -6x)(9 + -1x)) = 0Subproblem 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 '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 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 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Add '6x' to each side of the equation. -6x + 6x = 1 + 6x Combine like terms: -6x + 6x = 0 0 = 1 + 6x Simplifying 0 = 1 + 6x 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Add 'x' to each side of the equation. -1x + x = -9 + x Combine like terms: -1x + x = 0 0 = -9 + x Simplifying 0 = -9 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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