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Simplifying 3402000 = 3900x + 10x2 Solving 3402000 = 3900x + 10x2 Solving for variable 'x'. Reorder the terms: 3402000 + -3900x + -10x2 = 3900x + -3900x + 10x2 + -10x2 Combine like terms: 3900x + -3900x = 0 3402000 + -3900x + -10x2 = 0 + 10x2 + -10x2 3402000 + -3900x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 3402000 + -3900x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(340200 + -390x + -1x2) = 0 Factor a trinomial. 10((420 + -1x)(810 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(420 + -1x)' equal to zero and attempt to solve: Simplifying 420 + -1x = 0 Solving 420 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + -1x = 0 + -420 Combine like terms: 420 + -420 = 0 0 + -1x = 0 + -420 -1x = 0 + -420 Combine like terms: 0 + -420 = -420 -1x = -420 Divide each side by '-1'. x = 420 Simplifying x = 420Subproblem 2
Set the factor '(810 + x)' equal to zero and attempt to solve: Simplifying 810 + x = 0 Solving 810 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-810' to each side of the equation. 810 + -810 + x = 0 + -810 Combine like terms: 810 + -810 = 0 0 + x = 0 + -810 x = 0 + -810 Combine like terms: 0 + -810 = -810 x = -810 Simplifying x = -810Solution
x = {420, -810}
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