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Simplifying 15w2 = 16w + -4 Reorder the terms: 15w2 = -4 + 16w Solving 15w2 = -4 + 16w Solving for variable 'w'. Reorder the terms: 4 + -16w + 15w2 = -4 + 16w + 4 + -16w Reorder the terms: 4 + -16w + 15w2 = -4 + 4 + 16w + -16w Combine like terms: -4 + 4 = 0 4 + -16w + 15w2 = 0 + 16w + -16w 4 + -16w + 15w2 = 16w + -16w Combine like terms: 16w + -16w = 0 4 + -16w + 15w2 = 0 Factor a trinomial. (2 + -5w)(2 + -3w) = 0Subproblem 1
Set the factor '(2 + -5w)' equal to zero and attempt to solve: Simplifying 2 + -5w = 0 Solving 2 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 0 + -2 -5w = 0 + -2 Combine like terms: 0 + -2 = -2 -5w = -2 Divide each side by '-5'. w = 0.4 Simplifying w = 0.4Subproblem 2
Set the factor '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667Solution
w = {0.4, 0.6666666667}
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