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Simplifying 6x2 + -4x + -2562 = 0 Reorder the terms: -2562 + -4x + 6x2 = 0 Solving -2562 + -4x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1281 + -2x + 3x2) = 0 Factor a trinomial. 2((-61 + -3x)(21 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-61 + -3x)' equal to zero and attempt to solve: Simplifying -61 + -3x = 0 Solving -61 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -3x = 0 + 61 Combine like terms: -61 + 61 = 0 0 + -3x = 0 + 61 -3x = 0 + 61 Combine like terms: 0 + 61 = 61 -3x = 61 Divide each side by '-3'. x = -20.33333333 Simplifying x = -20.33333333Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {-20.33333333, 21}
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