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Simplifying 0 = 3x2 + -20x + 12 Reorder the terms: 0 = 12 + -20x + 3x2 Solving 0 = 12 + -20x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -12 = -12 -12 + 20x + -3x2 = 12 + -20x + 3x2 + -12 + 20x + -3x2 Reorder the terms: -12 + 20x + -3x2 = 12 + -12 + -20x + 20x + 3x2 + -3x2 Combine like terms: 12 + -12 = 0 -12 + 20x + -3x2 = 0 + -20x + 20x + 3x2 + -3x2 -12 + 20x + -3x2 = -20x + 20x + 3x2 + -3x2 Combine like terms: -20x + 20x = 0 -12 + 20x + -3x2 = 0 + 3x2 + -3x2 -12 + 20x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -12 + 20x + -3x2 = 0 Factor a trinomial. (-6 + x)(2 + -3x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {6, 0.6666666667}
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