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Simplifying x(x + 10) = 3339 Reorder the terms: x(10 + x) = 3339 (10 * x + x * x) = 3339 (10x + x2) = 3339 Solving 10x + x2 = 3339 Solving for variable 'x'. Reorder the terms: -3339 + 10x + x2 = 3339 + -3339 Combine like terms: 3339 + -3339 = 0 -3339 + 10x + x2 = 0 Factor a trinomial. (-63 + -1x)(53 + -1x) = 0Subproblem 1
Set the factor '(-63 + -1x)' equal to zero and attempt to solve: Simplifying -63 + -1x = 0 Solving -63 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -1x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -1x = 0 + 63 -1x = 0 + 63 Combine like terms: 0 + 63 = 63 -1x = 63 Divide each side by '-1'. x = -63 Simplifying x = -63Subproblem 2
Set the factor '(53 + -1x)' equal to zero and attempt to solve: Simplifying 53 + -1x = 0 Solving 53 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -1x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -1x = 0 + -53 -1x = 0 + -53 Combine like terms: 0 + -53 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53Solution
x = {-63, 53}
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