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Simplifying -49x2 + -4606x + -52000 = 42080 Reorder the terms: -52000 + -4606x + -49x2 = 42080 Solving -52000 + -4606x + -49x2 = 42080 Solving for variable 'x'. Reorder the terms: -52000 + -42080 + -4606x + -49x2 = 42080 + -42080 Combine like terms: -52000 + -42080 = -94080 -94080 + -4606x + -49x2 = 42080 + -42080 Combine like terms: 42080 + -42080 = 0 -94080 + -4606x + -49x2 = 0 Factor out the Greatest Common Factor (GCF), '-49'. -49(1920 + 94x + x2) = 0 Factor a trinomial. -49((64 + x)(30 + x)) = 0 Ignore the factor -49.Subproblem 1
Set the factor '(64 + x)' equal to zero and attempt to solve: Simplifying 64 + x = 0 Solving 64 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + x = 0 + -64 x = 0 + -64 Combine like terms: 0 + -64 = -64 x = -64 Simplifying x = -64Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 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 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Solution
x = {-64, -30}
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