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Simplifying x2 + x = 870 Reorder the terms: x + x2 = 870 Solving x + x2 = 870 Solving for variable 'x'. Reorder the terms: -870 + x + x2 = 870 + -870 Combine like terms: 870 + -870 = 0 -870 + x + x2 = 0 Factor a trinomial. (-30 + -1x)(29 + -1x) = 0Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
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 = 29Solution
x = {-30, 29}
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