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Simplifying 190x + -1x2 = 7800 Solving 190x + -1x2 = 7800 Solving for variable 'x'. Reorder the terms: -7800 + 190x + -1x2 = 7800 + -7800 Combine like terms: 7800 + -7800 = 0 -7800 + 190x + -1x2 = 0 Factor a trinomial. (-130 + x)(60 + -1x) = 0Subproblem 1
Set the factor '(-130 + x)' equal to zero and attempt to solve: Simplifying -130 + x = 0 Solving -130 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + x = 0 + 130 Combine like terms: -130 + 130 = 0 0 + x = 0 + 130 x = 0 + 130 Combine like terms: 0 + 130 = 130 x = 130 Simplifying x = 130Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {130, 60}
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