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Simplifying (7w + 4)(3w + -9) = 0 Reorder the terms: (4 + 7w)(3w + -9) = 0 Reorder the terms: (4 + 7w)(-9 + 3w) = 0 Multiply (4 + 7w) * (-9 + 3w) (4(-9 + 3w) + 7w * (-9 + 3w)) = 0 ((-9 * 4 + 3w * 4) + 7w * (-9 + 3w)) = 0 ((-36 + 12w) + 7w * (-9 + 3w)) = 0 (-36 + 12w + (-9 * 7w + 3w * 7w)) = 0 (-36 + 12w + (-63w + 21w2)) = 0 Combine like terms: 12w + -63w = -51w (-36 + -51w + 21w2) = 0 Solving -36 + -51w + 21w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + -17w + 7w2) = 0 Factor a trinomial. 3((-4 + -7w)(3 + -1w)) = 0 Ignore the factor 3.Subproblem 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 '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Solution
w = {-0.5714285714, 3}
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