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Simplifying 12x2 + -100 = 40x Reorder the terms: -100 + 12x2 = 40x Solving -100 + 12x2 = 40x Solving for variable 'x'. Reorder the terms: -100 + -40x + 12x2 = 40x + -40x Combine like terms: 40x + -40x = 0 -100 + -40x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-25 + -10x + 3x2) = 0 Factor a trinomial. 4((-5 + -3x)(5 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1.666666667, 5}
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