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Simplifying 27x2 + -1(15x) + -1(2) = 0 Remove parenthesis around (15x) 27x2 + -1 * 15x + -1(2) = 0 Multiply -1 * 15 27x2 + -15x + -1(2) = 0 Multiply -1 * 2 27x2 + -15x + -2 = 0 Reorder the terms: -2 + -15x + 27x2 = 0 Solving -2 + -15x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -9x)(2 + -3x) = 0Subproblem 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.1111111111, 0.6666666667}
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