x-6*5=x*x

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Solution for x-6*5=x*x equation:


Simplifying
x + -6 * 5 = x * x

Multiply -6 * 5
x + -30 = x * x

Reorder the terms:
-30 + x = x * x

Multiply x * x
-30 + x = x2

Solving
-30 + x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-30 + x + -1x2 = 0

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

Divide each side by '-1'.
30 + -1x + x2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -1x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + -1x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x + x2 = 0 + -30
-1x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
-1x + x2 = -30

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

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -30 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -30 + 0.25

Combine like terms: -30 + 0.25 = -29.75
0.25 + -1x + x2 = -29.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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