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Simplifying (X4)(x + -2)(x + -3) = 0 Reorder the terms: X4(-2 + x)(x + -3) = 0 Reorder the terms: X4(-2 + x)(-3 + x) = 0 Multiply (-2 + x) * (-3 + x) X4(-2(-3 + x) + x(-3 + x)) = 0 X4((-3 * -2 + x * -2) + x(-3 + x)) = 0 X4((6 + -2x) + x(-3 + x)) = 0 X4(6 + -2x + (-3 * x + x * x)) = 0 X4(6 + -2x + (-3x + x2)) = 0 Combine like terms: -2x + -3x = -5x X4(6 + -5x + x2) = 0 (6 * X4 + -5x * X4 + x2 * X4) = 0 (6X4 + -5xX4 + x2X4) = 0 Solving 6X4 + -5xX4 + x2X4 = 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), 'X4'. X4(6 + -5x + x2) = 0 Factor a trinomial. X4((2 + -1x)(3 + -1x)) = 0Subproblem 1
Set the factor 'X4' equal to zero and attempt to solve: Simplifying X4 = 0 Solving X4 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X4 = 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 '(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 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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 + -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 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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