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Simplifying 12w2 = 28w + 5 Reorder the terms: 12w2 = 5 + 28w Solving 12w2 = 5 + 28w Solving for variable 'w'. Reorder the terms: -5 + -28w + 12w2 = 5 + 28w + -5 + -28w Reorder the terms: -5 + -28w + 12w2 = 5 + -5 + 28w + -28w Combine like terms: 5 + -5 = 0 -5 + -28w + 12w2 = 0 + 28w + -28w -5 + -28w + 12w2 = 28w + -28w Combine like terms: 28w + -28w = 0 -5 + -28w + 12w2 = 0 Factor a trinomial. (-1 + -6w)(5 + -2w) = 0Subproblem 1
Set the factor '(-1 + -6w)' equal to zero and attempt to solve: Simplifying -1 + -6w = 0 Solving -1 + -6w = 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 + -6w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6w = 0 + 1 -6w = 0 + 1 Combine like terms: 0 + 1 = 1 -6w = 1 Divide each side by '-6'. w = -0.1666666667 Simplifying w = -0.1666666667Subproblem 2
Set the factor '(5 + -2w)' equal to zero and attempt to solve: Simplifying 5 + -2w = 0 Solving 5 + -2w = 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 + -2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 0 + -5 -2w = 0 + -5 Combine like terms: 0 + -5 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5Solution
w = {-0.1666666667, 2.5}
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