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Simplifying 30w2 + 210w + -7800 = 0 Reorder the terms: -7800 + 210w + 30w2 = 0 Solving -7800 + 210w + 30w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '30'. 30(-260 + 7w + w2) = 0 Factor a trinomial. 30((-20 + -1w)(13 + -1w)) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(-20 + -1w)' equal to zero and attempt to solve: Simplifying -20 + -1w = 0 Solving -20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1w = 0 + 20 -1w = 0 + 20 Combine like terms: 0 + 20 = 20 -1w = 20 Divide each side by '-1'. w = -20 Simplifying w = -20Subproblem 2
Set the factor '(13 + -1w)' equal to zero and attempt to solve: Simplifying 13 + -1w = 0 Solving 13 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1w = 0 + -13 -1w = 0 + -13 Combine like terms: 0 + -13 = -13 -1w = -13 Divide each side by '-1'. w = 13 Simplifying w = 13Solution
w = {-20, 13}
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