10x^2-140x+504=0

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Solution for 10x^2-140x+504=0 equation: 


Simplifying
10x2 + -140x + 504 = 0

Reorder the terms:
504 + -140x + 10x2 = 0

Solving
504 + -140x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(252 + -70x + 5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(252 + -70x + 5x2)' equal to zero and attempt to solve:

Simplifying
252 + -70x + 5x2 = 0

Solving
252 + -70x + 5x2 = 0

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

Divide each side by '5'.
50.4 + -14x + x2 = 0

Move the constant term to the right:

Add '-50.4' to each side of the equation.
50.4 + -14x + -50.4 + x2 = 0 + -50.4

Reorder the terms:
50.4 + -50.4 + -14x + x2 = 0 + -50.4

Combine like terms: 50.4 + -50.4 = 0.0
0.0 + -14x + x2 = 0 + -50.4
-14x + x2 = 0 + -50.4

Combine like terms: 0 + -50.4 = -50.4
-14x + x2 = -50.4

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -50.4 + 49

Reorder the terms:
49 + -14x + x2 = -50.4 + 49

Combine like terms: -50.4 + 49 = -1.4
49 + -14x + x2 = -1.4

Factor a perfect square on the left side:
(x + -7)(x + -7) = -1.4

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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