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Simplifying x2 + 50x + 1800 = 2400 Reorder the terms: 1800 + 50x + x2 = 2400 Solving 1800 + 50x + x2 = 2400 Solving for variable 'x'. Reorder the terms: 1800 + -2400 + 50x + x2 = 2400 + -2400 Combine like terms: 1800 + -2400 = -600 -600 + 50x + x2 = 2400 + -2400 Combine like terms: 2400 + -2400 = 0 -600 + 50x + x2 = 0 Factor a trinomial. (-60 + -1x)(10 + -1x) = 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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-60, 10}
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