(2x+3)(x-4)by(2x-4)(x-5)=1

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Solution for (2x+3)(x-4)by(2x-4)(x-5)=1 equation: 


Simplifying
(2x + 3)(x + -4) * by(2x + -4)(x + -5) = 1

Reorder the terms:
(3 + 2x)(x + -4) * by(2x + -4)(x + -5) = 1

Reorder the terms:
(3 + 2x)(-4 + x) * by(2x + -4)(x + -5) = 1

Reorder the terms:
(3 + 2x)(-4 + x) * by(-4 + 2x)(x + -5) = 1

Reorder the terms:
(3 + 2x)(-4 + x) * by(-4 + 2x)(-5 + x) = 1

Reorder the terms for easier multiplication:
by(3 + 2x)(-4 + x)(-4 + 2x)(-5 + x) = 1

Multiply (3 + 2x) * (-4 + x)
by(3(-4 + x) + 2x * (-4 + x))(-4 + 2x)(-5 + x) = 1
by((-4 * 3 + x * 3) + 2x * (-4 + x))(-4 + 2x)(-5 + x) = 1
by((-12 + 3x) + 2x * (-4 + x))(-4 + 2x)(-5 + x) = 1
by(-12 + 3x + (-4 * 2x + x * 2x))(-4 + 2x)(-5 + x) = 1
by(-12 + 3x + (-8x + 2x2))(-4 + 2x)(-5 + x) = 1

Combine like terms: 3x + -8x = -5x
by(-12 + -5x + 2x2)(-4 + 2x)(-5 + x) = 1

Multiply (-12 + -5x + 2x2) * (-4 + 2x)
by(-12(-4 + 2x) + -5x * (-4 + 2x) + 2x2 * (-4 + 2x))(-5 + x) = 1
by((-4 * -12 + 2x * -12) + -5x * (-4 + 2x) + 2x2 * (-4 + 2x))(-5 + x) = 1
by((48 + -24x) + -5x * (-4 + 2x) + 2x2 * (-4 + 2x))(-5 + x) = 1
by(48 + -24x + (-4 * -5x + 2x * -5x) + 2x2 * (-4 + 2x))(-5 + x) = 1
by(48 + -24x + (20x + -10x2) + 2x2 * (-4 + 2x))(-5 + x) = 1
by(48 + -24x + 20x + -10x2 + (-4 * 2x2 + 2x * 2x2))(-5 + x) = 1
by(48 + -24x + 20x + -10x2 + (-8x2 + 4x3))(-5 + x) = 1

Combine like terms: -24x + 20x = -4x
by(48 + -4x + -10x2 + -8x2 + 4x3)(-5 + x) = 1

Combine like terms: -10x2 + -8x2 = -18x2
by(48 + -4x + -18x2 + 4x3)(-5 + x) = 1

Multiply (48 + -4x + -18x2 + 4x3) * (-5 + x)
by(48(-5 + x) + -4x * (-5 + x) + -18x2 * (-5 + x) + 4x3 * (-5 + x)) = 1
by((-5 * 48 + x * 48) + -4x * (-5 + x) + -18x2 * (-5 + x) + 4x3 * (-5 + x)) = 1
by((-240 + 48x) + -4x * (-5 + x) + -18x2 * (-5 + x) + 4x3 * (-5 + x)) = 1
by(-240 + 48x + (-5 * -4x + x * -4x) + -18x2 * (-5 + x) + 4x3 * (-5 + x)) = 1
by(-240 + 48x + (20x + -4x2) + -18x2 * (-5 + x) + 4x3 * (-5 + x)) = 1
by(-240 + 48x + 20x + -4x2 + (-5 * -18x2 + x * -18x2) + 4x3 * (-5 + x)) = 1
by(-240 + 48x + 20x + -4x2 + (90x2 + -18x3) + 4x3 * (-5 + x)) = 1
by(-240 + 48x + 20x + -4x2 + 90x2 + -18x3 + (-5 * 4x3 + x * 4x3)) = 1
by(-240 + 48x + 20x + -4x2 + 90x2 + -18x3 + (-20x3 + 4x4)) = 1

Combine like terms: 48x + 20x = 68x
by(-240 + 68x + -4x2 + 90x2 + -18x3 + -20x3 + 4x4) = 1

Combine like terms: -4x2 + 90x2 = 86x2
by(-240 + 68x + 86x2 + -18x3 + -20x3 + 4x4) = 1

Combine like terms: -18x3 + -20x3 = -38x3
by(-240 + 68x + 86x2 + -38x3 + 4x4) = 1
(-240 * by + 68x * by + 86x2 * by + -38x3 * by + 4x4 * by) = 1

Reorder the terms:
(68bxy + 86bx2y + -38bx3y + 4bx4y + -240by) = 1
(68bxy + 86bx2y + -38bx3y + 4bx4y + -240by) = 1

Solving
68bxy + 86bx2y + -38bx3y + 4bx4y + -240by = 1

Solving for variable 'b'.

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

Reorder the terms:
-1 + 68bxy + 86bx2y + -38bx3y + 4bx4y + -240by = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 68bxy + 86bx2y + -38bx3y + 4bx4y + -240by = 0

The solution to this equation could not be determined.

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