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Simplifying 403x2 + 5x = 2 Reorder the terms: 5x + 403x2 = 2 Solving 5x + 403x2 = 2 Solving for variable 'x'. Reorder the terms: -2 + 5x + 403x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5x + 403x2 = 0 Factor a trinomial. (-1 + -13x)(2 + -31x) = 0Subproblem 1
Set the factor '(-1 + -13x)' equal to zero and attempt to solve: Simplifying -1 + -13x = 0 Solving -1 + -13x = 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 + -13x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = 0 + 1 -13x = 0 + 1 Combine like terms: 0 + 1 = 1 -13x = 1 Divide each side by '-13'. x = -0.07692307692 Simplifying x = -0.07692307692Subproblem 2
Set the factor '(2 + -31x)' equal to zero and attempt to solve: Simplifying 2 + -31x = 0 Solving 2 + -31x = 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 + -31x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -31x = 0 + -2 -31x = 0 + -2 Combine like terms: 0 + -2 = -2 -31x = -2 Divide each side by '-31'. x = 0.06451612903 Simplifying x = 0.06451612903Solution
x = {-0.07692307692, 0.06451612903}
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