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Simplifying (9w + -4)(8w + 3) = 0 Reorder the terms: (-4 + 9w)(8w + 3) = 0 Reorder the terms: (-4 + 9w)(3 + 8w) = 0 Multiply (-4 + 9w) * (3 + 8w) (-4(3 + 8w) + 9w * (3 + 8w)) = 0 ((3 * -4 + 8w * -4) + 9w * (3 + 8w)) = 0 ((-12 + -32w) + 9w * (3 + 8w)) = 0 (-12 + -32w + (3 * 9w + 8w * 9w)) = 0 (-12 + -32w + (27w + 72w2)) = 0 Combine like terms: -32w + 27w = -5w (-12 + -5w + 72w2) = 0 Solving -12 + -5w + 72w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + -8w)(4 + -9w) = 0Subproblem 1
Set the factor '(-3 + -8w)' equal to zero and attempt to solve: Simplifying -3 + -8w = 0 Solving -3 + -8w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8w = 0 + 3 -8w = 0 + 3 Combine like terms: 0 + 3 = 3 -8w = 3 Divide each side by '-8'. w = -0.375 Simplifying w = -0.375Subproblem 2
Set the factor '(4 + -9w)' equal to zero and attempt to solve: Simplifying 4 + -9w = 0 Solving 4 + -9w = 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 + -9w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9w = 0 + -4 -9w = 0 + -4 Combine like terms: 0 + -4 = -4 -9w = -4 Divide each side by '-9'. w = 0.4444444444 Simplifying w = 0.4444444444Solution
w = {-0.375, 0.4444444444}
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