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Simplifying x(8 + x) = 2900 (8 * x + x * x) = 2900 (8x + x2) = 2900 Solving 8x + x2 = 2900 Solving for variable 'x'. Reorder the terms: -2900 + 8x + x2 = 2900 + -2900 Combine like terms: 2900 + -2900 = 0 -2900 + 8x + x2 = 0 Factor a trinomial. (-58 + -1x)(50 + -1x) = 0Subproblem 1
Set the factor '(-58 + -1x)' equal to zero and attempt to solve: Simplifying -58 + -1x = 0 Solving -58 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -1x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -1x = 0 + 58 -1x = 0 + 58 Combine like terms: 0 + 58 = 58 -1x = 58 Divide each side by '-1'. x = -58 Simplifying x = -58Subproblem 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 = {-58, 50}
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