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Simplifying 2w2 + 2wx2 + -3wx = 0 Reorder the terms: -3wx + 2wx2 + 2w2 = 0 Solving -3wx + 2wx2 + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-3x + 2x2 + 2w) = 0Subproblem 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 '(-3x + 2x2 + 2w)' equal to zero and attempt to solve: Simplifying -3x + 2x2 + 2w = 0 Reorder the terms: 2w + -3x + 2x2 = 0 Solving 2w + -3x + 2x2 = 0 Move all terms containing w to the left, all other terms to the right. Add '3x' to each side of the equation. 2w + -3x + 3x + 2x2 = 0 + 3x Combine like terms: -3x + 3x = 0 2w + 0 + 2x2 = 0 + 3x 2w + 2x2 = 0 + 3x Remove the zero: 2w + 2x2 = 3x Add '-2x2' to each side of the equation. 2w + 2x2 + -2x2 = 3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 2w + 0 = 3x + -2x2 2w = 3x + -2x2 Divide each side by '2'. w = 1.5x + -1x2 Simplifying w = 1.5x + -1x2Solution
w = {0, 1.5x + -1x2}
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