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Simplifying 155x + -1x2 = 4600 Solving 155x + -1x2 = 4600 Solving for variable 'x'. Reorder the terms: -4600 + 155x + -1x2 = 4600 + -4600 Combine like terms: 4600 + -4600 = 0 -4600 + 155x + -1x2 = 0 Factor a trinomial. (-115 + x)(40 + -1x) = 0Subproblem 1
Set the factor '(-115 + x)' equal to zero and attempt to solve: Simplifying -115 + x = 0 Solving -115 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + x = 0 + 115 Combine like terms: -115 + 115 = 0 0 + x = 0 + 115 x = 0 + 115 Combine like terms: 0 + 115 = 115 x = 115 Simplifying x = 115Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {115, 40}
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