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Simplifying (8 + -1w)(5w + -2) = 0 Reorder the terms: (8 + -1w)(-2 + 5w) = 0 Multiply (8 + -1w) * (-2 + 5w) (8(-2 + 5w) + -1w * (-2 + 5w)) = 0 ((-2 * 8 + 5w * 8) + -1w * (-2 + 5w)) = 0 ((-16 + 40w) + -1w * (-2 + 5w)) = 0 (-16 + 40w + (-2 * -1w + 5w * -1w)) = 0 (-16 + 40w + (2w + -5w2)) = 0 Combine like terms: 40w + 2w = 42w (-16 + 42w + -5w2) = 0 Solving -16 + 42w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + w)(2 + -5w) = 0Subproblem 1
Set the factor '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 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 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve: Simplifying 2 + -5w = 0 Solving 2 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 0 + -2 -5w = 0 + -2 Combine like terms: 0 + -2 = -2 -5w = -2 Divide each side by '-5'. w = 0.4 Simplifying w = 0.4Solution
w = {8, 0.4}
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