36x^2+3x-14=0

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Solution for 36x^2+3x-14=0 equation:


Simplifying
36x2 + 3x + -14 = 0

Reorder the terms:
-14 + 3x + 36x2 = 0

Solving
-14 + 3x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(7 + -12x) = 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 '(7 + -12x)' equal to zero and attempt to solve: Simplifying 7 + -12x = 0 Solving 7 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 0 + -7 -12x = 0 + -7 Combine like terms: 0 + -7 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333

Solution

x = {-0.6666666667, 0.5833333333}

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