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Simplifying 1550 = -1x2 + 105x + -1050 Reorder the terms: 1550 = -1050 + 105x + -1x2 Solving 1550 = -1050 + 105x + -1x2 Solving for variable 'x'. Combine like terms: 1550 + 1050 = 2600 2600 + -105x + x2 = -1050 + 105x + -1x2 + 1050 + -105x + x2 Reorder the terms: 2600 + -105x + x2 = -1050 + 1050 + 105x + -105x + -1x2 + x2 Combine like terms: -1050 + 1050 = 0 2600 + -105x + x2 = 0 + 105x + -105x + -1x2 + x2 2600 + -105x + x2 = 105x + -105x + -1x2 + x2 Combine like terms: 105x + -105x = 0 2600 + -105x + x2 = 0 + -1x2 + x2 2600 + -105x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2600 + -105x + x2 = 0 Factor a trinomial. (40 + -1x)(65 + -1x) = 0Subproblem 1
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 = 40Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve: Simplifying 65 + -1x = 0 Solving 65 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -1x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1x = 0 + -65 -1x = 0 + -65 Combine like terms: 0 + -65 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65Solution
x = {40, 65}
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