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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. (-50 + -1x)(48 + -1x) = 0Subproblem 1
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 = -50Subproblem 2
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 = 48Solution
x = {-50, 48}
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