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Simplifying (x + 30)(x) = 1800 Reorder the terms: (30 + x)(x) = 1800 Reorder the terms for easier multiplication: x(30 + x) = 1800 (30 * x + x * x) = 1800 (30x + x2) = 1800 Solving 30x + x2 = 1800 Solving for variable 'x'. Reorder the terms: -1800 + 30x + x2 = 1800 + -1800 Combine like terms: 1800 + -1800 = 0 -1800 + 30x + x2 = 0 Factor a trinomial. (-60 + -1x)(30 + -1x) = 0Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve: Simplifying -60 + -1x = 0 Solving -60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -1x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -1x = 0 + 60 -1x = 0 + 60 Combine like terms: 0 + 60 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60Subproblem 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 = {-60, 30}
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