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Simplifying (14w + 9)(5w + -7) = 0 Reorder the terms: (9 + 14w)(5w + -7) = 0 Reorder the terms: (9 + 14w)(-7 + 5w) = 0 Multiply (9 + 14w) * (-7 + 5w) (9(-7 + 5w) + 14w * (-7 + 5w)) = 0 ((-7 * 9 + 5w * 9) + 14w * (-7 + 5w)) = 0 ((-63 + 45w) + 14w * (-7 + 5w)) = 0 (-63 + 45w + (-7 * 14w + 5w * 14w)) = 0 (-63 + 45w + (-98w + 70w2)) = 0 Combine like terms: 45w + -98w = -53w (-63 + -53w + 70w2) = 0 Solving -63 + -53w + 70w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -14w)(7 + -5w) = 0Subproblem 1
Set the factor '(-9 + -14w)' equal to zero and attempt to solve: Simplifying -9 + -14w = 0 Solving -9 + -14w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -14w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -14w = 0 + 9 -14w = 0 + 9 Combine like terms: 0 + 9 = 9 -14w = 9 Divide each side by '-14'. w = -0.6428571429 Simplifying w = -0.6428571429Subproblem 2
Set the factor '(7 + -5w)' equal to zero and attempt to solve: Simplifying 7 + -5w = 0 Solving 7 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5w = 0 + -7 -5w = 0 + -7 Combine like terms: 0 + -7 = -7 -5w = -7 Divide each side by '-5'. w = 1.4 Simplifying w = 1.4Solution
w = {-0.6428571429, 1.4}
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