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Simplifying 2w2 + 3w + 20w + 30 = 0 Reorder the terms: 30 + 3w + 20w + 2w2 = 0 Combine like terms: 3w + 20w = 23w 30 + 23w + 2w2 = 0 Solving 30 + 23w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (10 + w)(3 + 2w) = 0Subproblem 1
Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10Subproblem 2
Set the factor '(3 + 2w)' equal to zero and attempt to solve: Simplifying 3 + 2w = 0 Solving 3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 0 + -3 2w = 0 + -3 Combine like terms: 0 + -3 = -3 2w = -3 Divide each side by '2'. w = -1.5 Simplifying w = -1.5Solution
w = {-10, -1.5}
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