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Simplifying (7w + 6)(4w + -11) = 0 Reorder the terms: (6 + 7w)(4w + -11) = 0 Reorder the terms: (6 + 7w)(-11 + 4w) = 0 Multiply (6 + 7w) * (-11 + 4w) (6(-11 + 4w) + 7w * (-11 + 4w)) = 0 ((-11 * 6 + 4w * 6) + 7w * (-11 + 4w)) = 0 ((-66 + 24w) + 7w * (-11 + 4w)) = 0 (-66 + 24w + (-11 * 7w + 4w * 7w)) = 0 (-66 + 24w + (-77w + 28w2)) = 0 Combine like terms: 24w + -77w = -53w (-66 + -53w + 28w2) = 0 Solving -66 + -53w + 28w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -7w)(11 + -4w) = 0Subproblem 1
Set the factor '(-6 + -7w)' equal to zero and attempt to solve: Simplifying -6 + -7w = 0 Solving -6 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = 0 + 6 -7w = 0 + 6 Combine like terms: 0 + 6 = 6 -7w = 6 Divide each side by '-7'. w = -0.8571428571 Simplifying w = -0.8571428571Subproblem 2
Set the factor '(11 + -4w)' equal to zero and attempt to solve: Simplifying 11 + -4w = 0 Solving 11 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4w = 0 + -11 -4w = 0 + -11 Combine like terms: 0 + -11 = -11 -4w = -11 Divide each side by '-4'. w = 2.75 Simplifying w = 2.75Solution
w = {-0.8571428571, 2.75}
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