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Simplifying (X + -1)(42x2 + -98x2 + 56x) = 0 Reorder the terms: (-1 + X)(42x2 + -98x2 + 56x) = 0 Reorder the terms: (-1 + X)(56x + 42x2 + -98x2) = 0 Combine like terms: 42x2 + -98x2 = -56x2 (-1 + X)(56x + -56x2) = 0 Multiply (-1 + X) * (56x + -56x2) (-1(56x + -56x2) + X(56x + -56x2)) = 0 ((56x * -1 + -56x2 * -1) + X(56x + -56x2)) = 0 ((-56x + 56x2) + X(56x + -56x2)) = 0 (-56x + 56x2 + (56x * X + -56x2 * X)) = 0 (-56x + 56x2 + (56xX + -56x2X)) = 0 Reorder the terms: (-56x + 56xX + 56x2 + -56x2X) = 0 (-56x + 56xX + 56x2 + -56x2X) = 0 Solving -56x + 56xX + 56x2 + -56x2X = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '56x'. 56x(-1 + X + x + -1xX) = 0 Ignore the factor 56.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 '(-1 + X + x + -1xX)' equal to zero and attempt to solve: Simplifying -1 + X + x + -1xX = 0 Solving -1 + X + x + -1xX = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X + x + 1 + -1xX = 0 + 1 Reorder the terms: -1 + 1 + X + x + -1xX = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X + x + -1xX = 0 + 1 X + x + -1xX = 0 + 1 Combine like terms: 0 + 1 = 1 X + x + -1xX = 1 Add '-1X' to each side of the equation. X + x + -1X + -1xX = 1 + -1X Reorder the terms: X + -1X + x + -1xX = 1 + -1X Combine like terms: X + -1X = 0 0 + x + -1xX = 1 + -1X x + -1xX = 1 + -1X 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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