x^2-3x^2+10x-26=0

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Solution for x^2-3x^2+10x-26=0 equation: 


Simplifying
x2 + -3x2 + 10x + -26 = 0

Reorder the terms:
-26 + 10x + x2 + -3x2 = 0

Combine like terms: x2 + -3x2 = -2x2
-26 + 10x + -2x2 = 0

Solving
-26 + 10x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 5x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-13 + 5x + -1x2)' equal to zero and attempt to solve:

Simplifying
-13 + 5x + -1x2 = 0

Solving
-13 + 5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
13 + -5x + x2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -5x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -5x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -5x + x2 = 0 + -13
-5x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-5x + x2 = -13

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -13 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -13 + 6.25

Combine like terms: -13 + 6.25 = -6.75
6.25 + -5x + x2 = -6.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -6.75

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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