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Simplifying (7w + -5)(8w + 7) = 0 Reorder the terms: (-5 + 7w)(8w + 7) = 0 Reorder the terms: (-5 + 7w)(7 + 8w) = 0 Multiply (-5 + 7w) * (7 + 8w) (-5(7 + 8w) + 7w * (7 + 8w)) = 0 ((7 * -5 + 8w * -5) + 7w * (7 + 8w)) = 0 ((-35 + -40w) + 7w * (7 + 8w)) = 0 (-35 + -40w + (7 * 7w + 8w * 7w)) = 0 (-35 + -40w + (49w + 56w2)) = 0 Combine like terms: -40w + 49w = 9w (-35 + 9w + 56w2) = 0 Solving -35 + 9w + 56w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -8w)(5 + -7w) = 0Subproblem 1
Set the factor '(-7 + -8w)' equal to zero and attempt to solve: Simplifying -7 + -8w = 0 Solving -7 + -8w = 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 + -8w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8w = 0 + 7 -8w = 0 + 7 Combine like terms: 0 + 7 = 7 -8w = 7 Divide each side by '-8'. w = -0.875 Simplifying w = -0.875Subproblem 2
Set the factor '(5 + -7w)' equal to zero and attempt to solve: Simplifying 5 + -7w = 0 Solving 5 + -7w = 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 + -7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7w = 0 + -5 -7w = 0 + -5 Combine like terms: 0 + -5 = -5 -7w = -5 Divide each side by '-7'. w = 0.7142857143 Simplifying w = 0.7142857143Solution
w = {-0.875, 0.7142857143}
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