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Simplifying 84x2 + -13x + -5 = 0 Reorder the terms: -5 + -13x + 84x2 = 0 Solving -5 + -13x + 84x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -28x)(1 + -3x) = 0Subproblem 1
Set the factor '(-5 + -28x)' equal to zero and attempt to solve: Simplifying -5 + -28x = 0 Solving -5 + -28x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -28x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -28x = 0 + 5 -28x = 0 + 5 Combine like terms: 0 + 5 = 5 -28x = 5 Divide each side by '-28'. x = -0.1785714286 Simplifying x = -0.1785714286Subproblem 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 = {-0.1785714286, 0.3333333333}
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