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Simplifying 35w2 + -57w + -44 = 0 Reorder the terms: -44 + -57w + 35w2 = 0 Solving -44 + -57w + 35w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + -7w)(11 + -5w) = 0Subproblem 1
Set the factor '(-4 + -7w)' equal to zero and attempt to solve: Simplifying -4 + -7w = 0 Solving -4 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7w = 0 + 4 -7w = 0 + 4 Combine like terms: 0 + 4 = 4 -7w = 4 Divide each side by '-7'. w = -0.5714285714 Simplifying w = -0.5714285714Subproblem 2
Set the factor '(11 + -5w)' equal to zero and attempt to solve: Simplifying 11 + -5w = 0 Solving 11 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5w = 0 + -11 -5w = 0 + -11 Combine like terms: 0 + -11 = -11 -5w = -11 Divide each side by '-5'. w = 2.2 Simplifying w = 2.2Solution
w = {-0.5714285714, 2.2}
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