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Simplifying 4x2 + 104x + -1440 = 0 Reorder the terms: -1440 + 104x + 4x2 = 0 Solving -1440 + 104x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-360 + 26x + x2) = 0 Factor a trinomial. 4((-36 + -1x)(10 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-36 + -1x)' equal to zero and attempt to solve: Simplifying -36 + -1x = 0 Solving -36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = 0 + 36 -1x = 0 + 36 Combine like terms: 0 + 36 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-36, 10}
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