12x^2-4x+30=0

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Solution for 12x^2-4x+30=0 equation:


Simplifying
12x2 + -4x + 30 = 0

Reorder the terms:
30 + -4x + 12x2 = 0

Solving
30 + -4x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -2x + 6x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(15 + -2x + 6x2)' equal to zero and attempt to solve: Simplifying 15 + -2x + 6x2 = 0 Solving 15 + -2x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.5 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -0.3333333333x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -0.3333333333x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.3333333333x + x2 = 0 + -2.5 -0.3333333333x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -0.3333333333x + x2 = -2.5 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 = -2.5 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -2.5 + 0.02777777779 Combine like terms: -2.5 + 0.02777777779 = -2.47222222221 0.02777777779 + -0.3333333333x + x2 = -2.47222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -2.47222222221 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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