60x*x-63x+1383=0

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Solution for 60x*x-63x+1383=0 equation: 


Simplifying
60x * x + -63x + 1383 = 0

Multiply x * x
60x2 + -63x + 1383 = 0

Reorder the terms:
1383 + -63x + 60x2 = 0

Solving
1383 + -63x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(461 + -21x + 20x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(461 + -21x + 20x2)' equal to zero and attempt to solve:

Simplifying
461 + -21x + 20x2 = 0

Solving
461 + -21x + 20x2 = 0

Begin completing the square.  Divide all terms by
20 the coefficient of the squared term: 

Divide each side by '20'.
23.05 + -1.05x + x2 = 0.0

Move the constant term to the right:

Add '-23.05' to each side of the equation.
23.05 + -1.05x + -23.05 + x2 = 0.0 + -23.05

Reorder the terms:
23.05 + -23.05 + -1.05x + x2 = 0.0 + -23.05

Combine like terms: 23.05 + -23.05 = 0.00
0.00 + -1.05x + x2 = 0.0 + -23.05
-1.05x + x2 = 0.0 + -23.05

Combine like terms: 0.0 + -23.05 = -23.05
-1.05x + x2 = -23.05

The x term is -1.05x.  Take half its coefficient (-0.525).
Square it (0.275625) and add it to both sides.

Add '0.275625' to each side of the equation.
-1.05x + 0.275625 + x2 = -23.05 + 0.275625

Reorder the terms:
0.275625 + -1.05x + x2 = -23.05 + 0.275625

Combine like terms: -23.05 + 0.275625 = -22.774375
0.275625 + -1.05x + x2 = -22.774375

Factor a perfect square on the left side:
(x + -0.525)(x + -0.525) = -22.774375

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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