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Simplifying 0 = (36x3) + -1(12x2) Remove parenthesis around (12x2) 0 = (36x3) + -1 * 12x2 Multiply -1 * 12 0 = (36x3) + -12x2 Reorder the terms: 0 = -12x2 + (36x3) Solving 0 = -12x2 + (36x3) Solving for variable 'x'. Remove the zero: 12x2 + (-36x3) = -12x2 + (36x3) + 12x2 + (-36x3) Reorder the terms: 12x2 + (-36x3) = -12x2 + 12x2 + (36x3) + (-36x3) Combine like terms: -12x2 + 12x2 = 0 12x2 + (-36x3) = 0 + (36x3) + (-36x3) 12x2 + (-36x3) = (36x3) + (-36x3) Combine like terms: (36x3) + (-36x3) = 0 12x2 + (-36x3) = 0 Factor out the Greatest Common Factor (GCF), '12x2'. 12x2(1 + (-3x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + (-3x))' equal to zero and attempt to solve: Simplifying 1 + (-3x) = 0 Solving 1 + (-3x) = 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 + (-3x) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (-3x) = 0 + -1 (-3x) = 0 + -1 Combine like terms: 0 + -1 = -1 (-3x) = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0, 0.3333333333}
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