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Simplifying 56 = w(3w + -13) Reorder the terms: 56 = w(-13 + 3w) 56 = (-13 * w + 3w * w) 56 = (-13w + 3w2) Solving 56 = -13w + 3w2 Solving for variable 'w'. Reorder the terms: 56 + 13w + -3w2 = -13w + 13w + 3w2 + -3w2 Combine like terms: -13w + 13w = 0 56 + 13w + -3w2 = 0 + 3w2 + -3w2 56 + 13w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 56 + 13w + -3w2 = 0 Factor a trinomial. (7 + -1w)(8 + 3w) = 0Subproblem 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 '(8 + 3w)' equal to zero and attempt to solve: Simplifying 8 + 3w = 0 Solving 8 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 0 + -8 3w = 0 + -8 Combine like terms: 0 + -8 = -8 3w = -8 Divide each side by '3'. w = -2.666666667 Simplifying w = -2.666666667Solution
w = {7, -2.666666667}
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