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Simplifying (13w + 7)(6w + -5) = 0 Reorder the terms: (7 + 13w)(6w + -5) = 0 Reorder the terms: (7 + 13w)(-5 + 6w) = 0 Multiply (7 + 13w) * (-5 + 6w) (7(-5 + 6w) + 13w * (-5 + 6w)) = 0 ((-5 * 7 + 6w * 7) + 13w * (-5 + 6w)) = 0 ((-35 + 42w) + 13w * (-5 + 6w)) = 0 (-35 + 42w + (-5 * 13w + 6w * 13w)) = 0 (-35 + 42w + (-65w + 78w2)) = 0 Combine like terms: 42w + -65w = -23w (-35 + -23w + 78w2) = 0 Solving -35 + -23w + 78w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -13w)(5 + -6w) = 0Subproblem 1
Set the factor '(-7 + -13w)' equal to zero and attempt to solve: Simplifying -7 + -13w = 0 Solving -7 + -13w = 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 + -13w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -13w = 0 + 7 -13w = 0 + 7 Combine like terms: 0 + 7 = 7 -13w = 7 Divide each side by '-13'. w = -0.5384615385 Simplifying w = -0.5384615385Subproblem 2
Set the factor '(5 + -6w)' equal to zero and attempt to solve: Simplifying 5 + -6w = 0 Solving 5 + -6w = 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 + -6w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6w = 0 + -5 -6w = 0 + -5 Combine like terms: 0 + -5 = -5 -6w = -5 Divide each side by '-6'. w = 0.8333333333 Simplifying w = 0.8333333333Solution
w = {-0.5384615385, 0.8333333333}
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