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

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


Simplifying
(3x + -1)(x + 3) = (4y + -3)

Reorder the terms:
(-1 + 3x)(x + 3) = (4y + -3)

Reorder the terms:
(-1 + 3x)(3 + x) = (4y + -3)

Multiply (-1 + 3x) * (3 + x)
(-1(3 + x) + 3x * (3 + x)) = (4y + -3)
((3 * -1 + x * -1) + 3x * (3 + x)) = (4y + -3)
((-3 + -1x) + 3x * (3 + x)) = (4y + -3)
(-3 + -1x + (3 * 3x + x * 3x)) = (4y + -3)
(-3 + -1x + (9x + 3x2)) = (4y + -3)

Combine like terms: -1x + 9x = 8x
(-3 + 8x + 3x2) = (4y + -3)

Reorder the terms:
-3 + 8x + 3x2 = (-3 + 4y)

Remove parenthesis around (-3 + 4y)
-3 + 8x + 3x2 = -3 + 4y

Add '3' to each side of the equation.
-3 + 8x + 3 + 3x2 = -3 + 3 + 4y

Reorder the terms:
-3 + 3 + 8x + 3x2 = -3 + 3 + 4y

Combine like terms: -3 + 3 = 0
0 + 8x + 3x2 = -3 + 3 + 4y
8x + 3x2 = -3 + 3 + 4y

Combine like terms: -3 + 3 = 0
8x + 3x2 = 0 + 4y
8x + 3x2 = 4y

Solving
8x + 3x2 = 4y

Solving for variable 'x'.

Combine like terms: 4y + -4y = 0
8x + 3x2 + -4y = 0

The solution to this equation could not be determined.

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