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Simplifying 3w2 + -6w = 189 Reorder the terms: -6w + 3w2 = 189 Solving -6w + 3w2 = 189 Solving for variable 'w'. Reorder the terms: -189 + -6w + 3w2 = 189 + -189 Combine like terms: 189 + -189 = 0 -189 + -6w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-63 + -2w + w2) = 0 Factor a trinomial. 3((-7 + -1w)(9 + -1w)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -1w)' equal to zero and attempt to solve: Simplifying -7 + -1w = 0 Solving -7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 0 + 7 -1w = 0 + 7 Combine like terms: 0 + 7 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {-7, 9}
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