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Simplifying -3x2 + -28x + 2400 = 0 Reorder the terms: 2400 + -28x + -3x2 = 0 Solving 2400 + -28x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (24 + -1x)(100 + 3x) = 0Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(100 + 3x)' equal to zero and attempt to solve: Simplifying 100 + 3x = 0 Solving 100 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 3x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 3x = 0 + -100 3x = 0 + -100 Combine like terms: 0 + -100 = -100 3x = -100 Divide each side by '3'. x = -33.33333333 Simplifying x = -33.33333333Solution
x = {24, -33.33333333}
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