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Simplifying 45x2 + -9x + -2 = 0 Reorder the terms: -2 + -9x + 45x2 = 0 Solving -2 + -9x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -15x)(1 + -3x) = 0Subproblem 1
Set the factor '(-2 + -15x)' equal to zero and attempt to solve: Simplifying -2 + -15x = 0 Solving -2 + -15x = 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 + -15x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = 0 + 2 -15x = 0 + 2 Combine like terms: 0 + 2 = 2 -15x = 2 Divide each side by '-15'. x = -0.1333333333 Simplifying x = -0.1333333333Subproblem 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 = {-0.1333333333, 0.3333333333}
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