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Simplifying 6w2 + -23w + 10 = 0 Reorder the terms: 10 + -23w + 6w2 = 0 Solving 10 + -23w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + -2w)(10 + -3w) = 0Subproblem 1
Set the factor '(1 + -2w)' equal to zero and attempt to solve: Simplifying 1 + -2w = 0 Solving 1 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 0 + -1 -2w = 0 + -1 Combine like terms: 0 + -1 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5Subproblem 2
Set the factor '(10 + -3w)' equal to zero and attempt to solve: Simplifying 10 + -3w = 0 Solving 10 + -3w = 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 + -3w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = 0 + -10 -3w = 0 + -10 Combine like terms: 0 + -10 = -10 -3w = -10 Divide each side by '-3'. w = 3.333333333 Simplifying w = 3.333333333Solution
w = {0.5, 3.333333333}
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