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Simplifying 25w2 + -48 = 10w Reorder the terms: -48 + 25w2 = 10w Solving -48 + 25w2 = 10w Solving for variable 'w'. Reorder the terms: -48 + -10w + 25w2 = 10w + -10w Combine like terms: 10w + -10w = 0 -48 + -10w + 25w2 = 0 Factor a trinomial. (-6 + -5w)(8 + -5w) = 0Subproblem 1
Set the factor '(-6 + -5w)' equal to zero and attempt to solve: Simplifying -6 + -5w = 0 Solving -6 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5w = 0 + 6 -5w = 0 + 6 Combine like terms: 0 + 6 = 6 -5w = 6 Divide each side by '-5'. w = -1.2 Simplifying w = -1.2Subproblem 2
Set the factor '(8 + -5w)' equal to zero and attempt to solve: Simplifying 8 + -5w = 0 Solving 8 + -5w = 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 + -5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5w = 0 + -8 -5w = 0 + -8 Combine like terms: 0 + -8 = -8 -5w = -8 Divide each side by '-5'. w = 1.6 Simplifying w = 1.6Solution
w = {-1.2, 1.6}
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