30x^2-2x+4=0

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


Simplifying
30x2 + -2x + 4 = 0

Reorder the terms:
4 + -2x + 30x2 = 0

Solving
4 + -2x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -1x + 15x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1x + 15x2)' equal to zero and attempt to solve: Simplifying 2 + -1x + 15x2 = 0 Solving 2 + -1x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.1333333333 + -0.06666666667x + x2 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + -0.06666666667x + -0.1333333333 + x2 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + -0.06666666667x + x2 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + -0.06666666667x + x2 = 0 + -0.1333333333 -0.06666666667x + x2 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 -0.06666666667x + x2 = -0.1333333333 The x term is -0.06666666667x. Take half its coefficient (-0.03333333334). Square it (0.001111111112) and add it to both sides. Add '0.001111111112' to each side of the equation. -0.06666666667x + 0.001111111112 + x2 = -0.1333333333 + 0.001111111112 Reorder the terms: 0.001111111112 + -0.06666666667x + x2 = -0.1333333333 + 0.001111111112 Combine like terms: -0.1333333333 + 0.001111111112 = -0.132222222188 0.001111111112 + -0.06666666667x + x2 = -0.132222222188 Factor a perfect square on the left side: (x + -0.03333333334)(x + -0.03333333334) = -0.132222222188 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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