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Simplifying 81x2 + 36x + 4 = 25 Reorder the terms: 4 + 36x + 81x2 = 25 Solving 4 + 36x + 81x2 = 25 Solving for variable 'x'. Reorder the terms: 4 + -25 + 36x + 81x2 = 25 + -25 Combine like terms: 4 + -25 = -21 -21 + 36x + 81x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -21 + 36x + 81x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 12x + 27x2) = 0 Factor a trinomial. 3((-7 + -9x)(1 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 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 = {-0.7777777778, 0.3333333333}
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