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Simplifying x(62 + -1x) = 945 (62 * x + -1x * x) = 945 (62x + -1x2) = 945 Solving 62x + -1x2 = 945 Solving for variable 'x'. Reorder the terms: -945 + 62x + -1x2 = 945 + -945 Combine like terms: 945 + -945 = 0 -945 + 62x + -1x2 = 0 Factor a trinomial. (-35 + x)(27 + -1x) = 0Subproblem 1
Set the factor '(-35 + x)' equal to zero and attempt to solve: Simplifying -35 + x = 0 Solving -35 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + x = 0 + 35 x = 0 + 35 Combine like terms: 0 + 35 = 35 x = 35 Simplifying x = 35Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Solution
x = {35, 27}
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