(4x^2+4y^2-5)-(8x^2+4y^2-2)=

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Solution for (4x^2+4y^2-5)-(8x^2+4y^2-2)= equation:


Simplifying
(4x2 + 4y2 + -5) + -1(8x2 + 4y2 + -2) = 0

Reorder the terms:
(-5 + 4x2 + 4y2) + -1(8x2 + 4y2 + -2) = 0

Remove parenthesis around (-5 + 4x2 + 4y2)
-5 + 4x2 + 4y2 + -1(8x2 + 4y2 + -2) = 0

Reorder the terms:
-5 + 4x2 + 4y2 + -1(-2 + 8x2 + 4y2) = 0
-5 + 4x2 + 4y2 + (-2 * -1 + 8x2 * -1 + 4y2 * -1) = 0
-5 + 4x2 + 4y2 + (2 + -8x2 + -4y2) = 0

Reorder the terms:
-5 + 2 + 4x2 + -8x2 + 4y2 + -4y2 = 0

Combine like terms: -5 + 2 = -3
-3 + 4x2 + -8x2 + 4y2 + -4y2 = 0

Combine like terms: 4x2 + -8x2 = -4x2
-3 + -4x2 + 4y2 + -4y2 = 0

Combine like terms: 4y2 + -4y2 = 0
-3 + -4x2 + 0 = 0
-3 + -4x2 = 0

Solving
-3 + -4x2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -4x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x2 = 0 + 3
-4x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4x2 = 3

Divide each side by '-4'.
x2 = -0.75

Simplifying
x2 = -0.75

Reorder the terms:
0.75 + x2 = -0.75 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.75 + x2 = 0.00

The solution to this equation could not be determined.

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