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Simplifying 25w2 + 120w + 144 = 0 Reorder the terms: 144 + 120w + 25w2 = 0 Solving 144 + 120w + 25w2 = 0 Solving for variable 'w'. Factor a trinomial. (12 + 5w)(12 + 5w) = 0Subproblem 1
Set the factor '(12 + 5w)' equal to zero and attempt to solve: Simplifying 12 + 5w = 0 Solving 12 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 0 + -12 5w = 0 + -12 Combine like terms: 0 + -12 = -12 5w = -12 Divide each side by '5'. w = -2.4 Simplifying w = -2.4Subproblem 2
Set the factor '(12 + 5w)' equal to zero and attempt to solve: Simplifying 12 + 5w = 0 Solving 12 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 0 + -12 5w = 0 + -12 Combine like terms: 0 + -12 = -12 5w = -12 Divide each side by '5'. w = -2.4 Simplifying w = -2.4Solution
w = {-2.4, -2.4}
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