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Simplifying 0 = 30 + 29x + -1x2 Solving 0 = 30 + 29x + -1x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + -29x + x2 = 30 + 29x + -1x2 + -30 + -29x + x2 Reorder the terms: -30 + -29x + x2 = 30 + -30 + 29x + -29x + -1x2 + x2 Combine like terms: 30 + -30 = 0 -30 + -29x + x2 = 0 + 29x + -29x + -1x2 + x2 -30 + -29x + x2 = 29x + -29x + -1x2 + x2 Combine like terms: 29x + -29x = 0 -30 + -29x + x2 = 0 + -1x2 + x2 -30 + -29x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -30 + -29x + x2 = 0 Factor a trinomial. (-1 + -1x)(30 + -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 '(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 = 30Solution
x = {-1, 30}
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