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Simplifying (x)(65 + -1x) = 1050 (65 * x + -1x * x) = 1050 (65x + -1x2) = 1050 Solving 65x + -1x2 = 1050 Solving for variable 'x'. Reorder the terms: -1050 + 65x + -1x2 = 1050 + -1050 Combine like terms: 1050 + -1050 = 0 -1050 + 65x + -1x2 = 0 Factor a trinomial. (-35 + x)(30 + -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 '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {35, 30}
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