2x^2-[3x^2+y^2+(x^2-5y^2)]+4x^2=

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Solution for 2x^2-[3x^2+y^2+(x^2-5y^2)]+4x^2= equation:


Simplifying
2x2 + -1[3x2 + y2 + (x2 + -5y2)] + 4x2 = 0

Remove parenthesis around (x2 + -5y2)
2x2 + -1[3x2 + y2 + x2 + -5y2] + 4x2 = 0

Reorder the terms:
2x2 + -1[3x2 + x2 + y2 + -5y2] + 4x2 = 0

Combine like terms: 3x2 + x2 = 4x2
2x2 + -1[4x2 + y2 + -5y2] + 4x2 = 0

Combine like terms: y2 + -5y2 = -4y2
2x2 + -1[4x2 + -4y2] + 4x2 = 0
2x2 + [4x2 * -1 + -4y2 * -1] + 4x2 = 0
2x2 + [-4x2 + 4y2] + 4x2 = 0

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

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

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

Solving
2x2 + 4y2 = 0

Solving for variable 'x'.

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

Add '-4y2' to each side of the equation.
2x2 + 4y2 + -4y2 = 0 + -4y2

Combine like terms: 4y2 + -4y2 = 0
2x2 + 0 = 0 + -4y2
2x2 = 0 + -4y2
Remove the zero:
2x2 = -4y2

Divide each side by '2'.
x2 = -2y2

Simplifying
x2 = -2y2

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

The solution to this equation could not be determined.

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