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Simplifying (7w + 4)(3w + -4) = 0 Reorder the terms: (4 + 7w)(3w + -4) = 0 Reorder the terms: (4 + 7w)(-4 + 3w) = 0 Multiply (4 + 7w) * (-4 + 3w) (4(-4 + 3w) + 7w * (-4 + 3w)) = 0 ((-4 * 4 + 3w * 4) + 7w * (-4 + 3w)) = 0 ((-16 + 12w) + 7w * (-4 + 3w)) = 0 (-16 + 12w + (-4 * 7w + 3w * 7w)) = 0 (-16 + 12w + (-28w + 21w2)) = 0 Combine like terms: 12w + -28w = -16w (-16 + -16w + 21w2) = 0 Solving -16 + -16w + 21w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + -7w)(4 + -3w) = 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 '(4 + -3w)' equal to zero and attempt to solve: Simplifying 4 + -3w = 0 Solving 4 + -3w = 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 + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 0 + -4 -3w = 0 + -4 Combine like terms: 0 + -4 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333Solution
w = {-0.5714285714, 1.333333333}
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