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Simplifying 6x2 + 3x + 2.25 = 902.25 Reorder the terms: 2.25 + 3x + 6x2 = 902.25 Solving 2.25 + 3x + 6x2 = 902.25 Solving for variable 'x'. Reorder the terms: 2.25 + -902.25 + 3x + 6x2 = 902.25 + -902.25 Combine like terms: 2.25 + -902.25 = -900 -900 + 3x + 6x2 = 902.25 + -902.25 Combine like terms: 902.25 + -902.25 = 0.00 -900 + 3x + 6x2 = 0.00 Factor out the Greatest Common Factor (GCF), '3'. 3(-300 + x + 2x2) = 0.00 Factor a trinomial. 3((-25 + -2x)(12 + -1x)) = 0.00 Ignore the factor 3.Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve: Simplifying -25 + -2x = 0 Solving -25 + -2x = 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 + -2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 0 + 25 -2x = 0 + 25 Combine like terms: 0 + 25 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-12.5, 12}
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