3x+5=10x-x*x-26

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Solution for 3x+5=10x-x*x-26 equation: 


Simplifying
3x + 5 = 10x + -1x * x + -26

Reorder the terms:
5 + 3x = 10x + -1x * x + -26

Multiply x * x
5 + 3x = 10x + -1x2 + -26

Reorder the terms:
5 + 3x = -26 + 10x + -1x2

Solving
5 + 3x = -26 + 10x + -1x2

Solving for variable 'x'.

Reorder the terms:
5 + 26 + 3x + -10x + x2 = -26 + 10x + -1x2 + 26 + -10x + x2

Combine like terms: 5 + 26 = 31
31 + 3x + -10x + x2 = -26 + 10x + -1x2 + 26 + -10x + x2

Combine like terms: 3x + -10x = -7x
31 + -7x + x2 = -26 + 10x + -1x2 + 26 + -10x + x2

Reorder the terms:
31 + -7x + x2 = -26 + 26 + 10x + -10x + -1x2 + x2

Combine like terms: -26 + 26 = 0
31 + -7x + x2 = 0 + 10x + -10x + -1x2 + x2
31 + -7x + x2 = 10x + -10x + -1x2 + x2

Combine like terms: 10x + -10x = 0
31 + -7x + x2 = 0 + -1x2 + x2
31 + -7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
31 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -7x + -31 + x2 = 0 + -31

Reorder the terms:
31 + -31 + -7x + x2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -7x + x2 = 0 + -31
-7x + x2 = 0 + -31

Combine like terms: 0 + -31 = -31
-7x + x2 = -31

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -31 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -31 + 12.25

Combine like terms: -31 + 12.25 = -18.75
12.25 + -7x + x2 = -18.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -18.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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