X^2+6x^2+36-x^2+5x^2-25=5

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Solution for X^2+6x^2+36-x^2+5x^2-25=5 equation:


Simplifying
X2 + 6x2 + 36 + -1x2 + 5x2 + -25 = 5

Reorder the terms:
36 + -25 + X2 + 6x2 + -1x2 + 5x2 = 5

Combine like terms: 36 + -25 = 11
11 + X2 + 6x2 + -1x2 + 5x2 = 5

Combine like terms: 6x2 + -1x2 = 5x2
11 + X2 + 5x2 + 5x2 = 5

Combine like terms: 5x2 + 5x2 = 10x2
11 + X2 + 10x2 = 5

Solving
11 + X2 + 10x2 = 5

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + X2 + -11 + 10x2 = 5 + -11

Reorder the terms:
11 + -11 + X2 + 10x2 = 5 + -11

Combine like terms: 11 + -11 = 0
0 + X2 + 10x2 = 5 + -11
X2 + 10x2 = 5 + -11

Combine like terms: 5 + -11 = -6
X2 + 10x2 = -6

Add '-10x2' to each side of the equation.
X2 + 10x2 + -10x2 = -6 + -10x2

Combine like terms: 10x2 + -10x2 = 0
X2 + 0 = -6 + -10x2
X2 = -6 + -10x2

Simplifying
X2 = -6 + -10x2

Reorder the terms:
6 + X2 + 10x2 = -6 + -10x2 + 6 + 10x2

Reorder the terms:
6 + X2 + 10x2 = -6 + 6 + -10x2 + 10x2

Combine like terms: -6 + 6 = 0
6 + X2 + 10x2 = 0 + -10x2 + 10x2
6 + X2 + 10x2 = -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
6 + X2 + 10x2 = 0

The solution to this equation could not be determined.

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