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Simplifying x(x + 1) = 812 Reorder the terms: x(1 + x) = 812 (1 * x + x * x) = 812 (1x + x2) = 812 Solving 1x + x2 = 812 Solving for variable 'x'. Reorder the terms: -812 + 1x + x2 = 812 + -812 Combine like terms: 812 + -812 = 0 -812 + 1x + x2 = 0 Factor a trinomial. (-29 + -1x)(28 + -1x) = 0Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-29, 28}
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