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