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Simplifying 7w2 + -12w + -4 = 0 Reorder the terms: -4 + -12w + 7w2 = 0 Solving -4 + -12w + 7w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + -7w)(2 + -1w) = 0Subproblem 1
Set the factor '(-2 + -7w)' equal to zero and attempt to solve: Simplifying -2 + -7w = 0 Solving -2 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7w = 0 + 2 -7w = 0 + 2 Combine like terms: 0 + 2 = 2 -7w = 2 Divide each side by '-7'. w = -0.2857142857 Simplifying w = -0.2857142857Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-0.2857142857, 2}
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