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Simplifying w(12 + 3w) = 63 (12 * w + 3w * w) = 63 (12w + 3w2) = 63 Solving 12w + 3w2 = 63 Solving for variable 'w'. Reorder the terms: -63 + 12w + 3w2 = 63 + -63 Combine like terms: 63 + -63 = 0 -63 + 12w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-21 + 4w + w2) = 0 Factor a trinomial. 3((-7 + -1w)(3 + -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 '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Solution
w = {-7, 3}
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