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Simplifying 8800 = x2 + -30x + 7000 Reorder the terms: 8800 = 7000 + -30x + x2 Solving 8800 = 7000 + -30x + x2 Solving for variable 'x'. Combine like terms: 8800 + -7000 = 1800 1800 + 30x + -1x2 = 7000 + -30x + x2 + -7000 + 30x + -1x2 Reorder the terms: 1800 + 30x + -1x2 = 7000 + -7000 + -30x + 30x + x2 + -1x2 Combine like terms: 7000 + -7000 = 0 1800 + 30x + -1x2 = 0 + -30x + 30x + x2 + -1x2 1800 + 30x + -1x2 = -30x + 30x + x2 + -1x2 Combine like terms: -30x + 30x = 0 1800 + 30x + -1x2 = 0 + x2 + -1x2 1800 + 30x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1800 + 30x + -1x2 = 0 Factor a trinomial. (60 + -1x)(30 + x) = 0Subproblem 1
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 = 60Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 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 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Solution
x = {60, -30}
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