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

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


Simplifying
x3 = (2y + -1)(2y + 3)

Reorder the terms:
x3 = (-1 + 2y)(2y + 3)

Reorder the terms:
x3 = (-1 + 2y)(3 + 2y)

Multiply (-1 + 2y) * (3 + 2y)
x3 = (-1(3 + 2y) + 2y * (3 + 2y))
x3 = ((3 * -1 + 2y * -1) + 2y * (3 + 2y))
x3 = ((-3 + -2y) + 2y * (3 + 2y))
x3 = (-3 + -2y + (3 * 2y + 2y * 2y))
x3 = (-3 + -2y + (6y + 4y2))

Combine like terms: -2y + 6y = 4y
x3 = (-3 + 4y + 4y2)

Solving
x3 = -3 + 4y + 4y2

Solving for variable 'x'.

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

Simplifying
x3 = -3 + 4y + 4y2

Reorder the terms:
3 + x3 + -4y + -4y2 = -3 + 4y + 4y2 + 3 + -4y + -4y2

Reorder the terms:
3 + x3 + -4y + -4y2 = -3 + 3 + 4y + -4y + 4y2 + -4y2

Combine like terms: -3 + 3 = 0
3 + x3 + -4y + -4y2 = 0 + 4y + -4y + 4y2 + -4y2
3 + x3 + -4y + -4y2 = 4y + -4y + 4y2 + -4y2

Combine like terms: 4y + -4y = 0
3 + x3 + -4y + -4y2 = 0 + 4y2 + -4y2
3 + x3 + -4y + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
3 + x3 + -4y + -4y2 = 0

The solution to this equation could not be determined.

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