14x^2-50x+100=0

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Solution for 14x^2-50x+100=0 equation: 


Simplifying
14x2 + -50x + 100 = 0

Reorder the terms:
100 + -50x + 14x2 = 0

Solving
100 + -50x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + -25x + 7x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(50 + -25x + 7x2)' equal to zero and attempt to solve:

Simplifying
50 + -25x + 7x2 = 0

Solving
50 + -25x + 7x2 = 0

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

Divide each side by '7'.
7.142857143 + -3.571428571x + x2 = 0

Move the constant term to the right:

Add '-7.142857143' to each side of the equation.
7.142857143 + -3.571428571x + -7.142857143 + x2 = 0 + -7.142857143

Reorder the terms:
7.142857143 + -7.142857143 + -3.571428571x + x2 = 0 + -7.142857143

Combine like terms: 7.142857143 + -7.142857143 = 0.000000000
0.000000000 + -3.571428571x + x2 = 0 + -7.142857143
-3.571428571x + x2 = 0 + -7.142857143

Combine like terms: 0 + -7.142857143 = -7.142857143
-3.571428571x + x2 = -7.142857143

The x term is -3.571428571x.  Take half its coefficient (-1.785714286).
Square it (3.188775511) and add it to both sides.

Add '3.188775511' to each side of the equation.
-3.571428571x + 3.188775511 + x2 = -7.142857143 + 3.188775511

Reorder the terms:
3.188775511 + -3.571428571x + x2 = -7.142857143 + 3.188775511

Combine like terms: -7.142857143 + 3.188775511 = -3.954081632
3.188775511 + -3.571428571x + x2 = -3.954081632

Factor a perfect square on the left side:
(x + -1.785714286)(x + -1.785714286) = -3.954081632

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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