(2x^2+3y^2-7)-(4x^2+3y^2-4)=

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Solution for (2x^2+3y^2-7)-(4x^2+3y^2-4)= equation:


Simplifying
(2x2 + 3y2 + -7) + -1(4x2 + 3y2 + -4) = 0

Reorder the terms:
(-7 + 2x2 + 3y2) + -1(4x2 + 3y2 + -4) = 0

Remove parenthesis around (-7 + 2x2 + 3y2)
-7 + 2x2 + 3y2 + -1(4x2 + 3y2 + -4) = 0

Reorder the terms:
-7 + 2x2 + 3y2 + -1(-4 + 4x2 + 3y2) = 0
-7 + 2x2 + 3y2 + (-4 * -1 + 4x2 * -1 + 3y2 * -1) = 0
-7 + 2x2 + 3y2 + (4 + -4x2 + -3y2) = 0

Reorder the terms:
-7 + 4 + 2x2 + -4x2 + 3y2 + -3y2 = 0

Combine like terms: -7 + 4 = -3
-3 + 2x2 + -4x2 + 3y2 + -3y2 = 0

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

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

Solving
-3 + -2x2 = 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 + -2x2 = 0 + 3

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

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

Divide each side by '-2'.
x2 = -1.5

Simplifying
x2 = -1.5

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

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

The solution to this equation could not be determined.

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