39x^2+10x-1=0

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Solution for 39x^2+10x-1=0 equation:


Simplifying
39x2 + 10x + -1 = 0

Reorder the terms:
-1 + 10x + 39x2 = 0

Solving
-1 + 10x + 39x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(1 + -13x) = 0

Subproblem 1

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 = -0.3333333333

Subproblem 2

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 = 0.07692307692

Solution

x = {-0.3333333333, 0.07692307692}

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