56x^2-38x+60=0

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Solution for 56x^2-38x+60=0 equation:


Simplifying
56x2 + -38x + 60 = 0

Reorder the terms:
60 + -38x + 56x2 = 0

Solving
60 + -38x + 56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -19x + 28x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(30 + -19x + 28x2)' equal to zero and attempt to solve: Simplifying 30 + -19x + 28x2 = 0 Solving 30 + -19x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 1.071428571 + -0.6785714286x + x2 = 0 Move the constant term to the right: Add '-1.071428571' to each side of the equation. 1.071428571 + -0.6785714286x + -1.071428571 + x2 = 0 + -1.071428571 Reorder the terms: 1.071428571 + -1.071428571 + -0.6785714286x + x2 = 0 + -1.071428571 Combine like terms: 1.071428571 + -1.071428571 = 0.000000000 0.000000000 + -0.6785714286x + x2 = 0 + -1.071428571 -0.6785714286x + x2 = 0 + -1.071428571 Combine like terms: 0 + -1.071428571 = -1.071428571 -0.6785714286x + x2 = -1.071428571 The x term is -0.6785714286x. Take half its coefficient (-0.3392857143). Square it (0.1151147959) and add it to both sides. Add '0.1151147959' to each side of the equation. -0.6785714286x + 0.1151147959 + x2 = -1.071428571 + 0.1151147959 Reorder the terms: 0.1151147959 + -0.6785714286x + x2 = -1.071428571 + 0.1151147959 Combine like terms: -1.071428571 + 0.1151147959 = -0.9563137751 0.1151147959 + -0.6785714286x + x2 = -0.9563137751 Factor a perfect square on the left side: (x + -0.3392857143)(x + -0.3392857143) = -0.9563137751 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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