33x^2-2x-3=0

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Solution for 33x^2-2x-3=0 equation:


Simplifying
33x2 + -2x + -3 = 0

Reorder the terms:
-3 + -2x + 33x2 = 0

Solving
-3 + -2x + 33x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -11x)(1 + -3x) = 0

Subproblem 1

Set the factor '(-3 + -11x)' equal to zero and attempt to solve: Simplifying -3 + -11x = 0 Solving -3 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -11x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 0 + 3 -11x = 0 + 3 Combine like terms: 0 + 3 = 3 -11x = 3 Divide each side by '-11'. x = -0.2727272727 Simplifying x = -0.2727272727

Subproblem 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 = 0.3333333333

Solution

x = {-0.2727272727, 0.3333333333}

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