12x^2-4x+36=0

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Solution for 12x^2-4x+36=0 equation:


Simplifying
12x2 + -4x + 36 = 0

Reorder the terms:
36 + -4x + 12x2 = 0

Solving
36 + -4x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -1x + 3x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(9 + -1x + 3x2)' equal to zero and attempt to solve: Simplifying 9 + -1x + 3x2 = 0 Solving 9 + -1x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.3333333333x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -0.3333333333x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.3333333333x + x2 = 0 + -3 -0.3333333333x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.3333333333x + x2 = -3 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -3 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -3 + 0.02777777779 Combine like terms: -3 + 0.02777777779 = -2.97222222221 0.02777777779 + -0.3333333333x + x2 = -2.97222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -2.97222222221 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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