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Simplifying (-5w + -8)(7w + -8) = 0 Reorder the terms: (-8 + -5w)(7w + -8) = 0 Reorder the terms: (-8 + -5w)(-8 + 7w) = 0 Multiply (-8 + -5w) * (-8 + 7w) (-8(-8 + 7w) + -5w * (-8 + 7w)) = 0 ((-8 * -8 + 7w * -8) + -5w * (-8 + 7w)) = 0 ((64 + -56w) + -5w * (-8 + 7w)) = 0 (64 + -56w + (-8 * -5w + 7w * -5w)) = 0 (64 + -56w + (40w + -35w2)) = 0 Combine like terms: -56w + 40w = -16w (64 + -16w + -35w2) = 0 Solving 64 + -16w + -35w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + -7w)(8 + 5w) = 0Subproblem 1
Set the factor '(8 + -7w)' equal to zero and attempt to solve: Simplifying 8 + -7w = 0 Solving 8 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7w = 0 + -8 -7w = 0 + -8 Combine like terms: 0 + -8 = -8 -7w = -8 Divide each side by '-7'. w = 1.142857143 Simplifying w = 1.142857143Subproblem 2
Set the factor '(8 + 5w)' equal to zero and attempt to solve: Simplifying 8 + 5w = 0 Solving 8 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 0 + -8 5w = 0 + -8 Combine like terms: 0 + -8 = -8 5w = -8 Divide each side by '5'. w = -1.6 Simplifying w = -1.6Solution
w = {1.142857143, -1.6}
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