(8x^2+xy+5)-(-3x^2+xy-11)=0

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Solution for (8x^2+xy+5)-(-3x^2+xy-11)=0 equation:


Simplifying
(8x2 + xy + 5) + -1(-3x2 + xy + -11) = 0

Reorder the terms:
(5 + xy + 8x2) + -1(-3x2 + xy + -11) = 0

Remove parenthesis around (5 + xy + 8x2)
5 + xy + 8x2 + -1(-3x2 + xy + -11) = 0

Reorder the terms:
5 + xy + 8x2 + -1(-11 + xy + -3x2) = 0
5 + xy + 8x2 + (-11 * -1 + xy * -1 + -3x2 * -1) = 0
5 + xy + 8x2 + (11 + -1xy + 3x2) = 0

Reorder the terms:
5 + 11 + xy + -1xy + 8x2 + 3x2 = 0

Combine like terms: 5 + 11 = 16
16 + xy + -1xy + 8x2 + 3x2 = 0

Combine like terms: xy + -1xy = 0
16 + 0 + 8x2 + 3x2 = 0
16 + 8x2 + 3x2 = 0

Combine like terms: 8x2 + 3x2 = 11x2
16 + 11x2 = 0

Solving
16 + 11x2 = 0

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 11x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 11x2 = 0 + -16
11x2 = 0 + -16

Combine like terms: 0 + -16 = -16
11x2 = -16

Divide each side by '11'.
x2 = -1.454545455

Simplifying
x2 = -1.454545455

Reorder the terms:
1.454545455 + x2 = -1.454545455 + 1.454545455

Combine like terms: -1.454545455 + 1.454545455 = 0.000000000
1.454545455 + x2 = 0.000000000

The solution to this equation could not be determined.

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