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Simplifying 3x2 + -12x + 12 + -1x + -2 = 10 Reorder the terms: 12 + -2 + -12x + -1x + 3x2 = 10 Combine like terms: 12 + -2 = 10 10 + -12x + -1x + 3x2 = 10 Combine like terms: -12x + -1x = -13x 10 + -13x + 3x2 = 10 Add '-10' to each side of the equation. 10 + -13x + -10 + 3x2 = 10 + -10 Reorder the terms: 10 + -10 + -13x + 3x2 = 10 + -10 Combine like terms: 10 + -10 = 0 0 + -13x + 3x2 = 10 + -10 -13x + 3x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -13x + 3x2 = 0 Solving -13x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 3x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-13 + 3x)' equal to zero and attempt to solve: Simplifying -13 + 3x = 0 Solving -13 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 0 + 13 3x = 0 + 13 Combine like terms: 0 + 13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333Solution
x = {0, 4.333333333}
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