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Simplifying 2w3 + -20w2x + 50wx2 = 0 Reorder the terms: 50wx2 + -20w2x + 2w3 = 0 Solving 50wx2 + -20w2x + 2w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(25x2 + -10wx + w2) = 0 Factor a trinomial. 2w((5x + -1w)(5x + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(5x + -1w)' equal to zero and attempt to solve: Simplifying 5x + -1w = 0 Reorder the terms: -1w + 5x = 0 Solving -1w + 5x = 0 Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. -1w + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 -1w + 0 = 0 + -5x -1w = 0 + -5x Remove the zero: -1w = -5x Divide each side by '-1'. w = 5x Simplifying w = 5xSubproblem 3
Set the factor '(5x + -1w)' equal to zero and attempt to solve: Simplifying 5x + -1w = 0 Reorder the terms: -1w + 5x = 0 Solving -1w + 5x = 0 Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. -1w + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 -1w + 0 = 0 + -5x -1w = 0 + -5x Remove the zero: -1w = -5x Divide each side by '-1'. w = 5x Simplifying w = 5xSolution
w = {0, 5x, 5x}
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