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Simplifying w6xy + -1w4x3y = 0 Reorder the terms: -1w4x3y + w6xy = 0 Solving -1w4x3y + w6xy = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w4xy'. w4xy(-1x2 + w2) = 0 Factor a difference between two squares. w4xy((x + w)(-1x + w)) = 0Subproblem 1
Set the factor 'w4xy' equal to zero and attempt to solve: Simplifying w4xy = 0 Solving w4xy = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w4xy = 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 '(x + w)' equal to zero and attempt to solve: Simplifying x + w = 0 Reorder the terms: w + x = 0 Solving w + x = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. w + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 w + 0 = 0 + -1x w = 0 + -1x Remove the zero: w = -1x Simplifying w = -1xSubproblem 3
Set the factor '(-1x + w)' equal to zero and attempt to solve: Simplifying -1x + w = 0 Reorder the terms: w + -1x = 0 Solving w + -1x = 0 Move all terms containing w to the left, all other terms to the right. Add 'x' to each side of the equation. w + -1x + x = 0 + x Combine like terms: -1x + x = 0 w + 0 = 0 + x w = 0 + x Remove the zero: w = x Simplifying w = xSolution
w = {-1x, x}
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