2x^2+3y^2-8=7

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Solution for 2x^2+3y^2-8=7 equation:


Simplifying
2x2 + 3y2 + -8 = 7

Reorder the terms:
-8 + 2x2 + 3y2 = 7

Solving
-8 + 2x2 + 3y2 = 7

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 2x2 + 8 + 3y2 = 7 + 8

Reorder the terms:
-8 + 8 + 2x2 + 3y2 = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 2x2 + 3y2 = 7 + 8
2x2 + 3y2 = 7 + 8

Combine like terms: 7 + 8 = 15
2x2 + 3y2 = 15

Add '-3y2' to each side of the equation.
2x2 + 3y2 + -3y2 = 15 + -3y2

Combine like terms: 3y2 + -3y2 = 0
2x2 + 0 = 15 + -3y2
2x2 = 15 + -3y2

Divide each side by '2'.
x2 = 7.5 + -1.5y2

Simplifying
x2 = 7.5 + -1.5y2

Reorder the terms:
-7.5 + x2 + 1.5y2 = 7.5 + -1.5y2 + -7.5 + 1.5y2

Reorder the terms:
-7.5 + x2 + 1.5y2 = 7.5 + -7.5 + -1.5y2 + 1.5y2

Combine like terms: 7.5 + -7.5 = 0.0
-7.5 + x2 + 1.5y2 = 0.0 + -1.5y2 + 1.5y2
-7.5 + x2 + 1.5y2 = -1.5y2 + 1.5y2

Combine like terms: -1.5y2 + 1.5y2 = 0.0
-7.5 + x2 + 1.5y2 = 0.0

The solution to this equation could not be determined.

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