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Simplifying 4x2 + 340x + 6000 = 0 Reorder the terms: 6000 + 340x + 4x2 = 0 Solving 6000 + 340x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(1500 + 85x + x2) = 0 Factor a trinomial. 4((60 + x)(25 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(60 + x)' equal to zero and attempt to solve: Simplifying 60 + x = 0 Solving 60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + x = 0 + -60 x = 0 + -60 Combine like terms: 0 + -60 = -60 x = -60 Simplifying x = -60Subproblem 2
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {-60, -25}
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