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Simplifying 12x2 + -3x = 42 Reorder the terms: -3x + 12x2 = 42 Solving -3x + 12x2 = 42 Solving for variable 'x'. Reorder the terms: -42 + -3x + 12x2 = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + -3x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-14 + -1x + 4x2) = 0 Factor a trinomial. 3((-7 + -4x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1.75, 2}
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