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Simplifying 2w2 + -6w + -4700 = 0 Reorder the terms: -4700 + -6w + 2w2 = 0 Solving -4700 + -6w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2350 + -3w + w2) = 0 Factor a trinomial. 2((-47 + -1w)(50 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-47 + -1w)' equal to zero and attempt to solve: Simplifying -47 + -1w = 0 Solving -47 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -1w = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -1w = 0 + 47 -1w = 0 + 47 Combine like terms: 0 + 47 = 47 -1w = 47 Divide each side by '-1'. w = -47 Simplifying w = -47Subproblem 2
Set the factor '(50 + -1w)' equal to zero and attempt to solve: Simplifying 50 + -1w = 0 Solving 50 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1w = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1w = 0 + -50 -1w = 0 + -50 Combine like terms: 0 + -50 = -50 -1w = -50 Divide each side by '-1'. w = 50 Simplifying w = 50Solution
w = {-47, 50}
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