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Simplifying 3w2 + 4 = -7w Reorder the terms: 4 + 3w2 = -7w Solving 4 + 3w2 = -7w Solving for variable 'w'. Reorder the terms: 4 + 7w + 3w2 = -7w + 7w Combine like terms: -7w + 7w = 0 4 + 7w + 3w2 = 0 Factor a trinomial. (4 + 3w)(1 + w) = 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 '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {-1.333333333, -1}
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