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Simplifying ((36x2) + -1(14x) + -1(2)) = 0 Remove parenthesis around (14x) ((36x2) + -1 * 14x + -1(2)) = 0 Multiply -1 * 14 ((36x2) + -14x + -1(2)) = 0 Multiply -1 * 2 ((36x2) + -14x + -2) = 0 Reorder the terms: (-2 + -14x + (36x2)) = 0 Remove parenthesis around (-2 + -14x + (36x2)) -2 + -14x + (36x2) = 0 Solving -2 + -14x + (36x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -7x + (18x2)) = 0 Factor a trinomial. 2((-1 + -9x)(1 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 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 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.1111111111, 0.5}
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