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Simplifying 12x2 = 63x + -15 Reorder the terms: 12x2 = -15 + 63x Solving 12x2 = -15 + 63x Solving for variable 'x'. Reorder the terms: 15 + -63x + 12x2 = -15 + 63x + 15 + -63x Reorder the terms: 15 + -63x + 12x2 = -15 + 15 + 63x + -63x Combine like terms: -15 + 15 = 0 15 + -63x + 12x2 = 0 + 63x + -63x 15 + -63x + 12x2 = 63x + -63x Combine like terms: 63x + -63x = 0 15 + -63x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -21x + 4x2) = 0 Factor a trinomial. 3((1 + -4x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.25, 5}
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