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Simplifying 21w2 + 80w + 75 = 0 Reorder the terms: 75 + 80w + 21w2 = 0 Solving 75 + 80w + 21w2 = 0 Solving for variable 'w'. Factor a trinomial. (15 + 7w)(5 + 3w) = 0Subproblem 1
Set the factor '(15 + 7w)' equal to zero and attempt to solve: Simplifying 15 + 7w = 0 Solving 15 + 7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7w = 0 + -15 7w = 0 + -15 Combine like terms: 0 + -15 = -15 7w = -15 Divide each side by '7'. w = -2.142857143 Simplifying w = -2.142857143Subproblem 2
Set the factor '(5 + 3w)' equal to zero and attempt to solve: Simplifying 5 + 3w = 0 Solving 5 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667Solution
w = {-2.142857143, -1.666666667}
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