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Simplifying (x + 30) * x = 6336 Reorder the terms: (30 + x) * x = 6336 Reorder the terms for easier multiplication: x(30 + x) = 6336 (30 * x + x * x) = 6336 (30x + x2) = 6336 Solving 30x + x2 = 6336 Solving for variable 'x'. Reorder the terms: -6336 + 30x + x2 = 6336 + -6336 Combine like terms: 6336 + -6336 = 0 -6336 + 30x + x2 = 0 Factor a trinomial. (-96 + -1x)(66 + -1x) = 0Subproblem 1
Set the factor '(-96 + -1x)' equal to zero and attempt to solve: Simplifying -96 + -1x = 0 Solving -96 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + -1x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -1x = 0 + 96 -1x = 0 + 96 Combine like terms: 0 + 96 = 96 -1x = 96 Divide each side by '-1'. x = -96 Simplifying x = -96Subproblem 2
Set the factor '(66 + -1x)' equal to zero and attempt to solve: Simplifying 66 + -1x = 0 Solving 66 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -1x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -1x = 0 + -66 -1x = 0 + -66 Combine like terms: 0 + -66 = -66 -1x = -66 Divide each side by '-1'. x = 66 Simplifying x = 66Solution
x = {-96, 66}
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