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Simplifying 72x2 + 12x = 1200 Reorder the terms: 12x + 72x2 = 1200 Solving 12x + 72x2 = 1200 Solving for variable 'x'. Reorder the terms: -1200 + 12x + 72x2 = 1200 + -1200 Combine like terms: 1200 + -1200 = 0 -1200 + 12x + 72x2 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-100 + x + 6x2) = 0 Factor a trinomial. 12((-25 + -6x)(4 + -1x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-25 + -6x)' equal to zero and attempt to solve: Simplifying -25 + -6x = 0 Solving -25 + -6x = 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 + -6x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -6x = 0 + 25 -6x = 0 + 25 Combine like terms: 0 + 25 = 25 -6x = 25 Divide each side by '-6'. x = -4.166666667 Simplifying x = -4.166666667Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-4.166666667, 4}
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