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Simplifying x(x + -2) = 2400 Reorder the terms: x(-2 + x) = 2400 (-2 * x + x * x) = 2400 (-2x + x2) = 2400 Solving -2x + x2 = 2400 Solving for variable 'x'. Reorder the terms: -2400 + -2x + x2 = 2400 + -2400 Combine like terms: 2400 + -2400 = 0 -2400 + -2x + x2 = 0 Factor a trinomial. (-48 + -1x)(50 + -1x) = 0Subproblem 1
Set the factor '(-48 + -1x)' equal to zero and attempt to solve: Simplifying -48 + -1x = 0 Solving -48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -1x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = 0 + 48 -1x = 0 + 48 Combine like terms: 0 + 48 = 48 -1x = 48 Divide each side by '-1'. x = -48 Simplifying x = -48Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {-48, 50}
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