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Simplifying -7w + -2 = 3w2 Reorder the terms: -2 + -7w = 3w2 Solving -2 + -7w = 3w2 Solving for variable 'w'. Combine like terms: 3w2 + -3w2 = 0 -2 + -7w + -3w2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 7w + 3w2) = 0 Factor a trinomial. -1((2 + w)(1 + 3w)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Subproblem 2
Set the factor '(1 + 3w)' equal to zero and attempt to solve: Simplifying 1 + 3w = 0 Solving 1 + 3w = 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 + 3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 0 + -1 3w = 0 + -1 Combine like terms: 0 + -1 = -1 3w = -1 Divide each side by '3'. w = -0.3333333333 Simplifying w = -0.3333333333Solution
w = {-2, -0.3333333333}
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