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Simplifying 56w2 + -19w = 15 Reorder the terms: -19w + 56w2 = 15 Solving -19w + 56w2 = 15 Solving for variable 'w'. Reorder the terms: -15 + -19w + 56w2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -19w + 56w2 = 0 Factor a trinomial. (-3 + -8w)(5 + -7w) = 0Subproblem 1
Set the factor '(-3 + -8w)' equal to zero and attempt to solve: Simplifying -3 + -8w = 0 Solving -3 + -8w = 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 + -8w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8w = 0 + 3 -8w = 0 + 3 Combine like terms: 0 + 3 = 3 -8w = 3 Divide each side by '-8'. w = -0.375 Simplifying w = -0.375Subproblem 2
Set the factor '(5 + -7w)' equal to zero and attempt to solve: Simplifying 5 + -7w = 0 Solving 5 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7w = 0 + -5 -7w = 0 + -5 Combine like terms: 0 + -5 = -5 -7w = -5 Divide each side by '-7'. w = 0.7142857143 Simplifying w = 0.7142857143Solution
w = {-0.375, 0.7142857143}
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