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Simplifying 10x2 + -6x + -1368 = 0 Reorder the terms: -1368 + -6x + 10x2 = 0 Solving -1368 + -6x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-684 + -3x + 5x2) = 0 Factor a trinomial. 2((-57 + -5x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-57 + -5x)' equal to zero and attempt to solve: Simplifying -57 + -5x = 0 Solving -57 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -5x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -5x = 0 + 57 -5x = 0 + 57 Combine like terms: 0 + 57 = 57 -5x = 57 Divide each side by '-5'. x = -11.4 Simplifying x = -11.4Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-11.4, 12}
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