65x^2-3x-2=0

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Solution for 65x^2-3x-2=0 equation:


Simplifying
65x2 + -3x + -2 = 0

Reorder the terms:
-2 + -3x + 65x2 = 0

Solving
-2 + -3x + 65x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -13x)(1 + -5x) = 0

Subproblem 1

Set the factor '(-2 + -13x)' equal to zero and attempt to solve: Simplifying -2 + -13x = 0 Solving -2 + -13x = 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 + -13x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = 0 + 2 -13x = 0 + 2 Combine like terms: 0 + 2 = 2 -13x = 2 Divide each side by '-13'. x = -0.1538461538 Simplifying x = -0.1538461538

Subproblem 2

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {-0.1538461538, 0.2}

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