3x^2+(1-y)x^2=1x^2+(4-y)x^2

Solution for 3x^2+(1-y)x^2=1x^2+(4-y)x^2 equation:

Simplifying
3x2 + (1 + -1y) * x2 = 1x2 + (4 + -1y) * x2

Reorder the terms for easier multiplication:
3x2 + x2(1 + -1y) = 1x2 + (4 + -1y) * x2
3x2 + (1 * x2 + -1y * x2) = 1x2 + (4 + -1y) * x2
3x2 + (1x2 + -1x2y) = 1x2 + (4 + -1y) * x2

Combine like terms: 3x2 + 1x2 = 4x2
4x2 + -1x2y = 1x2 + (4 + -1y) * x2

Reorder the terms for easier multiplication:
4x2 + -1x2y = 1x2 + x2(4 + -1y)
4x2 + -1x2y = 1x2 + (4 * x2 + -1y * x2)
4x2 + -1x2y = 1x2 + (4x2 + -1x2y)

Combine like terms: 1x2 + 4x2 = 5x2
4x2 + -1x2y = 5x2 + -1x2y

Add 'x2y' to each side of the equation.
4x2 + -1x2y + x2y = 5x2 + -1x2y + x2y

Combine like terms: -1x2y + x2y = 0
4x2 + 0 = 5x2 + -1x2y + x2y
4x2 = 5x2 + -1x2y + x2y

Combine like terms: -1x2y + x2y = 0
4x2 = 5x2 + 0
4x2 = 5x2

Solving
4x2 = 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
4x2 + -5x2 = 5x2 + -5x2

Combine like terms: 4x2 + -5x2 = -1x2
-1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-1x2 = 0

Divide each side by '-1'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}