39x^2+8x-12=0

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Solution for 39x^2+8x-12=0 equation:


Simplifying
39x2 + 8x + -12 = 0

Reorder the terms:
-12 + 8x + 39x2 = 0

Solving
-12 + 8x + 39x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(6 + -13x) = 0

Subproblem 1

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 = -0.6666666667

Subproblem 2

Set the factor '(6 + -13x)' equal to zero and attempt to solve: Simplifying 6 + -13x = 0 Solving 6 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -13x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 0 + -6 -13x = 0 + -6 Combine like terms: 0 + -6 = -6 -13x = -6 Divide each side by '-13'. x = 0.4615384615 Simplifying x = 0.4615384615

Solution

x = {-0.6666666667, 0.4615384615}

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