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Simplifying 3w(-2w + 1) + 4w2 = answer Reorder the terms: 3w(1 + -2w) + 4w2 = answer (1 * 3w + -2w * 3w) + 4w2 = answer (3w + -6w2) + 4w2 = answer Combine like terms: -6w2 + 4w2 = -2w2 3w + -2w2 = answer Solving 3w + -2w2 = aenrsw Solving for variable 'w'. Reorder the terms: -1aenrsw + 3w + -2w2 = aenrsw + -1aenrsw Combine like terms: aenrsw + -1aenrsw = 0 -1aenrsw + 3w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-1aenrs + 3 + -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 '(-1aenrs + 3 + -2w)' equal to zero and attempt to solve: Simplifying -1aenrs + 3 + -2w = 0 Reorder the terms: 3 + -1aenrs + -2w = 0 Solving 3 + -1aenrs + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1aenrs + -3 + -2w = 0 + -3 Reorder the terms: 3 + -3 + -1aenrs + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1aenrs + -2w = 0 + -3 -1aenrs + -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -1aenrs + -2w = -3 Add 'aenrs' to each side of the equation. -1aenrs + aenrs + -2w = -3 + aenrs Combine like terms: -1aenrs + aenrs = 0 0 + -2w = -3 + aenrs -2w = -3 + aenrs Divide each side by '-2'. w = 1.5 + -0.5aenrs Simplifying w = 1.5 + -0.5aenrsSolution
w = {0, 1.5 + -0.5aenrs}
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