(2x^2+9y^2-8)-(7x^2+9y^2-3)=

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Solution for (2x^2+9y^2-8)-(7x^2+9y^2-3)= equation:


Simplifying
(2x2 + 9y2 + -8) + -1(7x2 + 9y2 + -3) = 0

Reorder the terms:
(-8 + 2x2 + 9y2) + -1(7x2 + 9y2 + -3) = 0

Remove parenthesis around (-8 + 2x2 + 9y2)
-8 + 2x2 + 9y2 + -1(7x2 + 9y2 + -3) = 0

Reorder the terms:
-8 + 2x2 + 9y2 + -1(-3 + 7x2 + 9y2) = 0
-8 + 2x2 + 9y2 + (-3 * -1 + 7x2 * -1 + 9y2 * -1) = 0
-8 + 2x2 + 9y2 + (3 + -7x2 + -9y2) = 0

Reorder the terms:
-8 + 3 + 2x2 + -7x2 + 9y2 + -9y2 = 0

Combine like terms: -8 + 3 = -5
-5 + 2x2 + -7x2 + 9y2 + -9y2 = 0

Combine like terms: 2x2 + -7x2 = -5x2
-5 + -5x2 + 9y2 + -9y2 = 0

Combine like terms: 9y2 + -9y2 = 0
-5 + -5x2 + 0 = 0
-5 + -5x2 = 0

Solving
-5 + -5x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -5x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5x2 = 0 + 5
-5x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-5x2 = 5

Divide each side by '-5'.
x2 = -1

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + x2 = 0

The solution to this equation could not be determined.

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