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Simplifying 6w2x3 + -24w2x2 + -102w2x = 0 Reorder the terms: -102w2x + -24w2x2 + 6w2x3 = 0 Solving -102w2x + -24w2x2 + 6w2x3 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6w2x'. 6w2x(-17 + -4x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'w2x' equal to zero and attempt to solve: Simplifying w2x = 0 Solving w2x = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w2x = 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 '(-17 + -4x + x2)' equal to zero and attempt to solve: Simplifying -17 + -4x + x2 = 0 Solving -17 + -4x + x2 = 0 Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -4x + 17 + x2 = 0 + 17 Reorder the terms: -17 + 17 + -4x + x2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4x + x2 = 0 + 17 -4x + x2 = 0 + 17 Combine like terms: 0 + 17 = 17 -4x + x2 = 17 Add '4x' to each side of the equation. -4x + 4x + x2 = 17 + 4x Combine like terms: -4x + 4x = 0 0 + x2 = 17 + 4x x2 = 17 + 4x Add '-1x2' to each side of the equation. x2 + -1x2 = 17 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 17 + 4x + -1x2 Simplifying 0 = 17 + 4x + -1x2 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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