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Simplifying (4w + -9)(7w + 11) = 0 Reorder the terms: (-9 + 4w)(7w + 11) = 0 Reorder the terms: (-9 + 4w)(11 + 7w) = 0 Multiply (-9 + 4w) * (11 + 7w) (-9(11 + 7w) + 4w * (11 + 7w)) = 0 ((11 * -9 + 7w * -9) + 4w * (11 + 7w)) = 0 ((-99 + -63w) + 4w * (11 + 7w)) = 0 (-99 + -63w + (11 * 4w + 7w * 4w)) = 0 (-99 + -63w + (44w + 28w2)) = 0 Combine like terms: -63w + 44w = -19w (-99 + -19w + 28w2) = 0 Solving -99 + -19w + 28w2 = 0 Solving for variable 'w'. Factor a trinomial. (-11 + -7w)(9 + -4w) = 0Subproblem 1
Set the factor '(-11 + -7w)' equal to zero and attempt to solve: Simplifying -11 + -7w = 0 Solving -11 + -7w = 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 + -7w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -7w = 0 + 11 -7w = 0 + 11 Combine like terms: 0 + 11 = 11 -7w = 11 Divide each side by '-7'. w = -1.571428571 Simplifying w = -1.571428571Subproblem 2
Set the factor '(9 + -4w)' equal to zero and attempt to solve: Simplifying 9 + -4w = 0 Solving 9 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = 0 + -9 -4w = 0 + -9 Combine like terms: 0 + -9 = -9 -4w = -9 Divide each side by '-4'. w = 2.25 Simplifying w = 2.25Solution
w = {-1.571428571, 2.25}
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