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Simplifying (7w + -4)(w + -8) = 0 Reorder the terms: (-4 + 7w)(w + -8) = 0 Reorder the terms: (-4 + 7w)(-8 + w) = 0 Multiply (-4 + 7w) * (-8 + w) (-4(-8 + w) + 7w * (-8 + w)) = 0 ((-8 * -4 + w * -4) + 7w * (-8 + w)) = 0 ((32 + -4w) + 7w * (-8 + w)) = 0 (32 + -4w + (-8 * 7w + w * 7w)) = 0 (32 + -4w + (-56w + 7w2)) = 0 Combine like terms: -4w + -56w = -60w (32 + -60w + 7w2) = 0 Solving 32 + -60w + 7w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -7w)(8 + -1w) = 0Subproblem 1
Set the factor '(4 + -7w)' equal to zero and attempt to solve: Simplifying 4 + -7w = 0 Solving 4 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7w = 0 + -4 -7w = 0 + -4 Combine like terms: 0 + -4 = -4 -7w = -4 Divide each side by '-7'. w = 0.5714285714 Simplifying w = 0.5714285714Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 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 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Solution
w = {0.5714285714, 8}
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