20x^2-6x+62=0

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Solution for 20x^2-6x+62=0 equation:


Simplifying
20x2 + -6x + 62 = 0

Reorder the terms:
62 + -6x + 20x2 = 0

Solving
62 + -6x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(31 + -3x + 10x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(31 + -3x + 10x2)' equal to zero and attempt to solve: Simplifying 31 + -3x + 10x2 = 0 Solving 31 + -3x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 3.1 + -0.3x + x2 = 0.0 Move the constant term to the right: Add '-3.1' to each side of the equation. 3.1 + -0.3x + -3.1 + x2 = 0.0 + -3.1 Reorder the terms: 3.1 + -3.1 + -0.3x + x2 = 0.0 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -0.3x + x2 = 0.0 + -3.1 -0.3x + x2 = 0.0 + -3.1 Combine like terms: 0.0 + -3.1 = -3.1 -0.3x + x2 = -3.1 The x term is -0.3x. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3x + 0.0225 + x2 = -3.1 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -3.1 + 0.0225 Combine like terms: -3.1 + 0.0225 = -3.0775 0.0225 + -0.3x + x2 = -3.0775 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -3.0775 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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