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Simplifying 47w + -1w2 = 90 Solving 47w + -1w2 = 90 Solving for variable 'w'. Reorder the terms: -90 + 47w + -1w2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 47w + -1w2 = 0 Factor a trinomial. (-45 + w)(2 + -1w) = 0Subproblem 1
Set the factor '(-45 + w)' equal to zero and attempt to solve: Simplifying -45 + w = 0 Solving -45 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + w = 0 + 45 w = 0 + 45 Combine like terms: 0 + 45 = 45 w = 45 Simplifying w = 45Subproblem 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 = {45, 2}
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