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Simplifying 7w2 + 55w + -8 = 0 Reorder the terms: -8 + 55w + 7w2 = 0 Solving -8 + 55w + 7w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -1w)(1 + -7w) = 0Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve: Simplifying -8 + -1w = 0 Solving -8 + -1w = 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 + -1w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 0 + 8 -1w = 0 + 8 Combine like terms: 0 + 8 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8Subproblem 2
Set the factor '(1 + -7w)' equal to zero and attempt to solve: Simplifying 1 + -7w = 0 Solving 1 + -7w = 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 + -7w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7w = 0 + -1 -7w = 0 + -1 Combine like terms: 0 + -1 = -1 -7w = -1 Divide each side by '-7'. w = 0.1428571429 Simplifying w = 0.1428571429Solution
w = {-8, 0.1428571429}
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