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Simplifying 31x = 12x2 + 20 Reorder the terms: 31x = 20 + 12x2 Solving 31x = 20 + 12x2 Solving for variable 'x'. Reorder the terms: -20 + 31x + -12x2 = 20 + 12x2 + -20 + -12x2 Reorder the terms: -20 + 31x + -12x2 = 20 + -20 + 12x2 + -12x2 Combine like terms: 20 + -20 = 0 -20 + 31x + -12x2 = 0 + 12x2 + -12x2 -20 + 31x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -20 + 31x + -12x2 = 0 Factor a trinomial. (-4 + 3x)(5 + -4x) = 0Subproblem 1
Set the factor '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {1.333333333, 1.25}
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