2(x^2+6)+5x=9x-8

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Solution for 2(x^2+6)+5x=9x-8 equation: 


Simplifying
2(x2 + 6) + 5x = 9x + -8

Reorder the terms:
2(6 + x2) + 5x = 9x + -8
(6 * 2 + x2 * 2) + 5x = 9x + -8
(12 + 2x2) + 5x = 9x + -8

Reorder the terms:
12 + 5x + 2x2 = 9x + -8

Reorder the terms:
12 + 5x + 2x2 = -8 + 9x

Solving
12 + 5x + 2x2 = -8 + 9x

Solving for variable 'x'.

Reorder the terms:
12 + 8 + 5x + -9x + 2x2 = -8 + 9x + 8 + -9x

Combine like terms: 12 + 8 = 20
20 + 5x + -9x + 2x2 = -8 + 9x + 8 + -9x

Combine like terms: 5x + -9x = -4x
20 + -4x + 2x2 = -8 + 9x + 8 + -9x

Reorder the terms:
20 + -4x + 2x2 = -8 + 8 + 9x + -9x

Combine like terms: -8 + 8 = 0
20 + -4x + 2x2 = 0 + 9x + -9x
20 + -4x + 2x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
10 + -2x + x2 = 0

Solving
10 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2x + -10 + x2 = 0 + -10

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

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

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

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -10 + 1

Reorder the terms:
1 + -2x + x2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + -2x + x2 = -9

Factor a perfect square on the left side:
(x + -1)(x + -1) = -9

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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