-20x^2+10x-14=0

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Solution for -20x^2+10x-14=0 equation: 


Simplifying
-20x2 + 10x + -14 = 0

Reorder the terms:
-14 + 10x + -20x2 = 0

Solving
-14 + 10x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 5x + -10x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 5x + -10x2)' equal to zero and attempt to solve:

Simplifying
-7 + 5x + -10x2 = 0

Solving
-7 + 5x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.7 + -0.5x + x2 = 0.0

Move the constant term to the right:

Add '-0.7' to each side of the equation.
0.7 + -0.5x + -0.7 + x2 = 0.0 + -0.7

Reorder the terms:
0.7 + -0.7 + -0.5x + x2 = 0.0 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.5x + x2 = 0.0 + -0.7
-0.5x + x2 = 0.0 + -0.7

Combine like terms: 0.0 + -0.7 = -0.7
-0.5x + x2 = -0.7

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.7 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.7 + 0.0625

Combine like terms: -0.7 + 0.0625 = -0.6375
0.0625 + -0.5x + x2 = -0.6375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.6375

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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