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Simplifying 3w2 + w + -70 = 0 Reorder the terms: -70 + w + 3w2 = 0 Solving -70 + w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -1w)(14 + -3w) = 0Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve: Simplifying -5 + -1w = 0 Solving -5 + -1w = 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 + -1w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 0 + 5 -1w = 0 + 5 Combine like terms: 0 + 5 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5Subproblem 2
Set the factor '(14 + -3w)' equal to zero and attempt to solve: Simplifying 14 + -3w = 0 Solving 14 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = 0 + -14 -3w = 0 + -14 Combine like terms: 0 + -14 = -14 -3w = -14 Divide each side by '-3'. w = 4.666666667 Simplifying w = 4.666666667Solution
w = {-5, 4.666666667}
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