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Simplifying 3x2 + -4290x + 126000 = 0 Reorder the terms: 126000 + -4290x + 3x2 = 0 Solving 126000 + -4290x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(42000 + -1430x + x2) = 0 Factor a trinomial. 3((30 + -1x)(1400 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Subproblem 2
Set the factor '(1400 + -1x)' equal to zero and attempt to solve: Simplifying 1400 + -1x = 0 Solving 1400 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1400' to each side of the equation. 1400 + -1400 + -1x = 0 + -1400 Combine like terms: 1400 + -1400 = 0 0 + -1x = 0 + -1400 -1x = 0 + -1400 Combine like terms: 0 + -1400 = -1400 -1x = -1400 Divide each side by '-1'. x = 1400 Simplifying x = 1400Solution
x = {30, 1400}
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