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Simplifying (7w + 6)(5w + -13) = 0 Reorder the terms: (6 + 7w)(5w + -13) = 0 Reorder the terms: (6 + 7w)(-13 + 5w) = 0 Multiply (6 + 7w) * (-13 + 5w) (6(-13 + 5w) + 7w * (-13 + 5w)) = 0 ((-13 * 6 + 5w * 6) + 7w * (-13 + 5w)) = 0 ((-78 + 30w) + 7w * (-13 + 5w)) = 0 (-78 + 30w + (-13 * 7w + 5w * 7w)) = 0 (-78 + 30w + (-91w + 35w2)) = 0 Combine like terms: 30w + -91w = -61w (-78 + -61w + 35w2) = 0 Solving -78 + -61w + 35w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -7w)(13 + -5w) = 0Subproblem 1
Set the factor '(-6 + -7w)' equal to zero and attempt to solve: Simplifying -6 + -7w = 0 Solving -6 + -7w = 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 + -7w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = 0 + 6 -7w = 0 + 6 Combine like terms: 0 + 6 = 6 -7w = 6 Divide each side by '-7'. w = -0.8571428571 Simplifying w = -0.8571428571Subproblem 2
Set the factor '(13 + -5w)' equal to zero and attempt to solve: Simplifying 13 + -5w = 0 Solving 13 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5w = 0 + -13 -5w = 0 + -13 Combine like terms: 0 + -13 = -13 -5w = -13 Divide each side by '-5'. w = 2.6 Simplifying w = 2.6Solution
w = {-0.8571428571, 2.6}
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