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Simplifying 7w2 + -6w + -16 = 0 Reorder the terms: -16 + -6w + 7w2 = 0 Solving -16 + -6w + 7w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -7w)(2 + -1w) = 0Subproblem 1
Set the factor '(-8 + -7w)' equal to zero and attempt to solve: Simplifying -8 + -7w = 0 Solving -8 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7w = 0 + 8 -7w = 0 + 8 Combine like terms: 0 + 8 = 8 -7w = 8 Divide each side by '-7'. w = -1.142857143 Simplifying w = -1.142857143Subproblem 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 = {-1.142857143, 2}
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