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Simplifying 2x2 + -782x + -24360 = 0 Reorder the terms: -24360 + -782x + 2x2 = 0 Solving -24360 + -782x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12180 + -391x + x2) = 0 Factor a trinomial. 2((-29 + -1x)(420 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -29Subproblem 2
Set the factor '(420 + -1x)' equal to zero and attempt to solve: Simplifying 420 + -1x = 0 Solving 420 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + -1x = 0 + -420 Combine like terms: 420 + -420 = 0 0 + -1x = 0 + -420 -1x = 0 + -420 Combine like terms: 0 + -420 = -420 -1x = -420 Divide each side by '-1'. x = 420 Simplifying x = 420Solution
x = {-29, 420}
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