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Simplifying 12x2 + -77x = 20 Reorder the terms: -77x + 12x2 = 20 Solving -77x + 12x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + -77x + 12x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -77x + 12x2 = 0 Factor a trinomial. (-1 + -4x)(20 + -3x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(20 + -3x)' equal to zero and attempt to solve: Simplifying 20 + -3x = 0 Solving 20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 0 + -20 -3x = 0 + -20 Combine like terms: 0 + -20 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667Solution
x = {-0.25, 6.666666667}
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