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Simplifying (X3 + -2x)(-9x + 18) = 0 Reorder the terms: (X3 + -2x)(18 + -9x) = 0 Multiply (X3 + -2x) * (18 + -9x) (X3(18 + -9x) + -2x * (18 + -9x)) = 0 ((18 * X3 + -9x * X3) + -2x * (18 + -9x)) = 0 ((18X3 + -9xX3) + -2x * (18 + -9x)) = 0 (18X3 + -9xX3 + (18 * -2x + -9x * -2x)) = 0 (18X3 + -9xX3 + (-36x + 18x2)) = 0 Reorder the terms: (18X3 + -36x + -9xX3 + 18x2) = 0 (18X3 + -36x + -9xX3 + 18x2) = 0 Solving 18X3 + -36x + -9xX3 + 18x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '36x' to each side of the equation. 18X3 + -36x + -9xX3 + 36x + 18x2 = 0 + 36x Reorder the terms: 18X3 + -36x + 36x + -9xX3 + 18x2 = 0 + 36x Combine like terms: -36x + 36x = 0 18X3 + 0 + -9xX3 + 18x2 = 0 + 36x 18X3 + -9xX3 + 18x2 = 0 + 36x Remove the zero: 18X3 + -9xX3 + 18x2 = 36x Add '-18x2' to each side of the equation. 18X3 + -9xX3 + 18x2 + -18x2 = 36x + -18x2 Combine like terms: 18x2 + -18x2 = 0 18X3 + -9xX3 + 0 = 36x + -18x2 18X3 + -9xX3 = 36x + -18x2 Reorder the terms: 18X3 + -36x + -9xX3 + 18x2 = 36x + -18x2 + -36x + 18x2 Reorder the terms: 18X3 + -36x + -9xX3 + 18x2 = 36x + -36x + -18x2 + 18x2 Combine like terms: 36x + -36x = 0 18X3 + -36x + -9xX3 + 18x2 = 0 + -18x2 + 18x2 18X3 + -36x + -9xX3 + 18x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 18X3 + -36x + -9xX3 + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(2X3 + -4x + -1xX3 + 2x2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(2X3 + -4x + -1xX3 + 2x2)' equal to zero and attempt to solve: Simplifying 2X3 + -4x + -1xX3 + 2x2 = 0 Solving 2X3 + -4x + -1xX3 + 2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. 2X3 + -4x + -1xX3 + 4x + 2x2 = 0 + 4x Reorder the terms: 2X3 + -4x + 4x + -1xX3 + 2x2 = 0 + 4x Combine like terms: -4x + 4x = 0 2X3 + 0 + -1xX3 + 2x2 = 0 + 4x 2X3 + -1xX3 + 2x2 = 0 + 4x Remove the zero: 2X3 + -1xX3 + 2x2 = 4x Add '-2x2' to each side of the equation. 2X3 + -1xX3 + 2x2 + -2x2 = 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 2X3 + -1xX3 + 0 = 4x + -2x2 2X3 + -1xX3 = 4x + -2x2 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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