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Simplifying (14w + 9)(5w + -3) = 0 Reorder the terms: (9 + 14w)(5w + -3) = 0 Reorder the terms: (9 + 14w)(-3 + 5w) = 0 Multiply (9 + 14w) * (-3 + 5w) (9(-3 + 5w) + 14w * (-3 + 5w)) = 0 ((-3 * 9 + 5w * 9) + 14w * (-3 + 5w)) = 0 ((-27 + 45w) + 14w * (-3 + 5w)) = 0 (-27 + 45w + (-3 * 14w + 5w * 14w)) = 0 (-27 + 45w + (-42w + 70w2)) = 0 Combine like terms: 45w + -42w = 3w (-27 + 3w + 70w2) = 0 Solving -27 + 3w + 70w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -14w)(3 + -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 '(3 + -5w)' equal to zero and attempt to solve: Simplifying 3 + -5w = 0 Solving 3 + -5w = 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 + -5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = 0 + -3 -5w = 0 + -3 Combine like terms: 0 + -3 = -3 -5w = -3 Divide each side by '-5'. w = 0.6 Simplifying w = 0.6Solution
w = {-0.6428571429, 0.6}
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