-6x=x^2+10

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Solution for -6x=x^2+10 equation: 


Simplifying
-6x = x2 + 10

Reorder the terms:
-6x = 10 + x2

Solving
-6x = 10 + x2

Solving for variable 'x'.

Reorder the terms:
-10 + -6x + -1x2 = 10 + x2 + -10 + -1x2

Reorder the terms:
-10 + -6x + -1x2 = 10 + -10 + x2 + -1x2

Combine like terms: 10 + -10 = 0
-10 + -6x + -1x2 = 0 + x2 + -1x2
-10 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + -6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 6x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
10 + 6x + x2 = 0

Solving
10 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 6x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 6x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 6x + x2 = 0 + -10
6x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
6x + x2 = -10

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -10 + 9

Reorder the terms:
9 + 6x + x2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + 6x + x2 = -1

Factor a perfect square on the left side:
(x + 3)(x + 3) = -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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