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Simplifying 12x2 + 8x = 12008000 Reorder the terms: 8x + 12x2 = 12008000 Solving 8x + 12x2 = 12008000 Solving for variable 'x'. Reorder the terms: -12008000 + 8x + 12x2 = 12008000 + -12008000 Combine like terms: 12008000 + -12008000 = 0 -12008000 + 8x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3002000 + 2x + 3x2) = 0 Factor a trinomial. 4((-3002 + -3x)(1000 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3002 + -3x)' equal to zero and attempt to solve: Simplifying -3002 + -3x = 0 Solving -3002 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '3002' to each side of the equation. -3002 + 3002 + -3x = 0 + 3002 Combine like terms: -3002 + 3002 = 0 0 + -3x = 0 + 3002 -3x = 0 + 3002 Combine like terms: 0 + 3002 = 3002 -3x = 3002 Divide each side by '-3'. x = -1000.666667 Simplifying x = -1000.666667Subproblem 2
Set the factor '(1000 + -1x)' equal to zero and attempt to solve: Simplifying 1000 + -1x = 0 Solving 1000 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + -1x = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -1x = 0 + -1000 -1x = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -1x = -1000 Divide each side by '-1'. x = 1000 Simplifying x = 1000Solution
x = {-1000.666667, 1000}
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