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Simplifying 81x2 + -36x + 4 = (9x + -2) Reorder the terms: 4 + -36x + 81x2 = (9x + -2) Reorder the terms: 4 + -36x + 81x2 = (-2 + 9x) Remove parenthesis around (-2 + 9x) 4 + -36x + 81x2 = -2 + 9x Solving 4 + -36x + 81x2 = -2 + 9x Solving for variable 'x'. Reorder the terms: 4 + 2 + -36x + -9x + 81x2 = -2 + 9x + 2 + -9x Combine like terms: 4 + 2 = 6 6 + -36x + -9x + 81x2 = -2 + 9x + 2 + -9x Combine like terms: -36x + -9x = -45x 6 + -45x + 81x2 = -2 + 9x + 2 + -9x Reorder the terms: 6 + -45x + 81x2 = -2 + 2 + 9x + -9x Combine like terms: -2 + 2 = 0 6 + -45x + 81x2 = 0 + 9x + -9x 6 + -45x + 81x2 = 9x + -9x Combine like terms: 9x + -9x = 0 6 + -45x + 81x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + -15x + 27x2) = 0 Factor a trinomial. 3((2 + -9x)(1 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Subproblem 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 = {0.2222222222, 0.3333333333}
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