2x^2-8x+10=0

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Solution for 2x^2-8x+10=0 equation: 


Simplifying
2x2 + -8x + 10 = 0

Reorder the terms:
10 + -8x + 2x2 = 0

Solving
10 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
5 + -4x + x2 = 0

Solving
5 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -4x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -4x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x + x2 = 0 + -5
-4x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-4x + x2 = -5

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -5 + 4

Reorder the terms:
4 + -4x + x2 = -5 + 4

Combine like terms: -5 + 4 = -1
4 + -4x + x2 = -1

Factor a perfect square on the left side:
(x + -2)(x + -2) = -1

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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