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Simplifying (3w + 4)(2w + -7) = 0 Reorder the terms: (4 + 3w)(2w + -7) = 0 Reorder the terms: (4 + 3w)(-7 + 2w) = 0 Multiply (4 + 3w) * (-7 + 2w) (4(-7 + 2w) + 3w * (-7 + 2w)) = 0 ((-7 * 4 + 2w * 4) + 3w * (-7 + 2w)) = 0 ((-28 + 8w) + 3w * (-7 + 2w)) = 0 (-28 + 8w + (-7 * 3w + 2w * 3w)) = 0 (-28 + 8w + (-21w + 6w2)) = 0 Combine like terms: 8w + -21w = -13w (-28 + -13w + 6w2) = 0 Solving -28 + -13w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + -3w)(7 + -2w) = 0Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(7 + -2w)' equal to zero and attempt to solve: Simplifying 7 + -2w = 0 Solving 7 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = 0 + -7 -2w = 0 + -7 Combine like terms: 0 + -7 = -7 -2w = -7 Divide each side by '-2'. w = 3.5 Simplifying w = 3.5Solution
w = {-1.333333333, 3.5}
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