=(5x-y)(2x-3)

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Solution for =(5x-y)(2x-3) equation:


Simplifying
0 = (5x + -1y)(2x + -3)

Reorder the terms:
0 = (5x + -1y)(-3 + 2x)

Multiply (5x + -1y) * (-3 + 2x)
0 = (5x * (-3 + 2x) + -1y * (-3 + 2x))
0 = ((-3 * 5x + 2x * 5x) + -1y * (-3 + 2x))
0 = ((-15x + 10x2) + -1y * (-3 + 2x))
0 = (-15x + 10x2 + (-3 * -1y + 2x * -1y))

Reorder the terms:
0 = (-15x + 10x2 + (-2xy + 3y))
0 = (-15x + 10x2 + (-2xy + 3y))

Reorder the terms:
0 = (-15x + -2xy + 10x2 + 3y)
0 = (-15x + -2xy + 10x2 + 3y)

Solving
0 = -15x + -2xy + 10x2 + 3y

Solving for variable 'x'.
Remove the zero:
15x + 2xy + -10x2 + -3y = -15x + -2xy + 10x2 + 3y + 15x + 2xy + -10x2 + -3y

Reorder the terms:
15x + 2xy + -10x2 + -3y = -15x + 15x + -2xy + 2xy + 10x2 + -10x2 + 3y + -3y

Combine like terms: -15x + 15x = 0
15x + 2xy + -10x2 + -3y = 0 + -2xy + 2xy + 10x2 + -10x2 + 3y + -3y
15x + 2xy + -10x2 + -3y = -2xy + 2xy + 10x2 + -10x2 + 3y + -3y

Combine like terms: -2xy + 2xy = 0
15x + 2xy + -10x2 + -3y = 0 + 10x2 + -10x2 + 3y + -3y
15x + 2xy + -10x2 + -3y = 10x2 + -10x2 + 3y + -3y

Combine like terms: 10x2 + -10x2 = 0
15x + 2xy + -10x2 + -3y = 0 + 3y + -3y
15x + 2xy + -10x2 + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
15x + 2xy + -10x2 + -3y = 0

The solution to this equation could not be determined.

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