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Simplifying (2wz2 + -2z) * dw + (3w2z + -4w) * x = 0 Reorder the terms for easier multiplication: dw(2wz2 + -2z) + (3w2z + -4w) * x = 0 (2wz2 * dw + -2z * dw) + (3w2z + -4w) * x = 0 Reorder the terms: (-2dwz + 2dw2z2) + (3w2z + -4w) * x = 0 (-2dwz + 2dw2z2) + (3w2z + -4w) * x = 0 Reorder the terms: -2dwz + 2dw2z2 + (-4w + 3w2z) * x = 0 Reorder the terms for easier multiplication: -2dwz + 2dw2z2 + x(-4w + 3w2z) = 0 -2dwz + 2dw2z2 + (-4w * x + 3w2z * x) = 0 -2dwz + 2dw2z2 + (-4wx + 3w2xz) = 0 Solving -2dwz + 2dw2z2 + -4wx + 3w2xz = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4wx' to each side of the equation. -2dwz + 2dw2z2 + -4wx + 4wx + 3w2xz = 0 + 4wx Combine like terms: -4wx + 4wx = 0 -2dwz + 2dw2z2 + 0 + 3w2xz = 0 + 4wx -2dwz + 2dw2z2 + 3w2xz = 0 + 4wx Remove the zero: -2dwz + 2dw2z2 + 3w2xz = 4wx Add '-3w2xz' to each side of the equation. -2dwz + 2dw2z2 + 3w2xz + -3w2xz = 4wx + -3w2xz Combine like terms: 3w2xz + -3w2xz = 0 -2dwz + 2dw2z2 + 0 = 4wx + -3w2xz -2dwz + 2dw2z2 = 4wx + -3w2xz Reorder the terms: -2dwz + 2dw2z2 + -4wx + 3w2xz = 4wx + -4wx + -3w2xz + 3w2xz Combine like terms: 4wx + -4wx = 0 -2dwz + 2dw2z2 + -4wx + 3w2xz = 0 + -3w2xz + 3w2xz -2dwz + 2dw2z2 + -4wx + 3w2xz = -3w2xz + 3w2xz Combine like terms: -3w2xz + 3w2xz = 0 -2dwz + 2dw2z2 + -4wx + 3w2xz = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-2dz + 2dwz2 + -4x + 3wxz) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing d to the left, all other terms to the right. Add '-1w' to each side of the equation. w + -1w = 0 + -1w Remove the zero: 0 = -1w Simplifying 0 = -1w 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 '(-2dz + 2dwz2 + -4x + 3wxz)' equal to zero and attempt to solve: Simplifying -2dz + 2dwz2 + -4x + 3wxz = 0 Reorder the terms: 2dwz2 + -2dz + 3wxz + -4x = 0 Solving 2dwz2 + -2dz + 3wxz + -4x = 0 Move all terms containing d to the left, all other terms to the right. Add '-3wxz' to each side of the equation. 2dwz2 + -2dz + 3wxz + -3wxz + -4x = 0 + -3wxz Combine like terms: 3wxz + -3wxz = 0 2dwz2 + -2dz + 0 + -4x = 0 + -3wxz 2dwz2 + -2dz + -4x = 0 + -3wxz Remove the zero: 2dwz2 + -2dz + -4x = -3wxz Add '4x' to each side of the equation. 2dwz2 + -2dz + -4x + 4x = -3wxz + 4x Combine like terms: -4x + 4x = 0 2dwz2 + -2dz + 0 = -3wxz + 4x 2dwz2 + -2dz = -3wxz + 4x 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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