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

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


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

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

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

Multiply (-1 + 3x) * (3 + 2x)
(-1(3 + 2x) + 3x * (3 + 2x)) = (2x + 5)(3x + -4)
((3 * -1 + 2x * -1) + 3x * (3 + 2x)) = (2x + 5)(3x + -4)
((-3 + -2x) + 3x * (3 + 2x)) = (2x + 5)(3x + -4)
(-3 + -2x + (3 * 3x + 2x * 3x)) = (2x + 5)(3x + -4)
(-3 + -2x + (9x + 6x2)) = (2x + 5)(3x + -4)

Combine like terms: -2x + 9x = 7x
(-3 + 7x + 6x2) = (2x + 5)(3x + -4)

Reorder the terms:
-3 + 7x + 6x2 = (5 + 2x)(3x + -4)

Reorder the terms:
-3 + 7x + 6x2 = (5 + 2x)(-4 + 3x)

Multiply (5 + 2x) * (-4 + 3x)
-3 + 7x + 6x2 = (5(-4 + 3x) + 2x * (-4 + 3x))
-3 + 7x + 6x2 = ((-4 * 5 + 3x * 5) + 2x * (-4 + 3x))
-3 + 7x + 6x2 = ((-20 + 15x) + 2x * (-4 + 3x))
-3 + 7x + 6x2 = (-20 + 15x + (-4 * 2x + 3x * 2x))
-3 + 7x + 6x2 = (-20 + 15x + (-8x + 6x2))

Combine like terms: 15x + -8x = 7x
-3 + 7x + 6x2 = (-20 + 7x + 6x2)

Add '-7x' to each side of the equation.
-3 + 7x + -7x + 6x2 = -20 + 7x + -7x + 6x2

Combine like terms: 7x + -7x = 0
-3 + 0 + 6x2 = -20 + 7x + -7x + 6x2
-3 + 6x2 = -20 + 7x + -7x + 6x2

Combine like terms: 7x + -7x = 0
-3 + 6x2 = -20 + 0 + 6x2
-3 + 6x2 = -20 + 6x2

Add '-6x2' to each side of the equation.
-3 + 6x2 + -6x2 = -20 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-3 + 0 = -20 + 6x2 + -6x2
-3 = -20 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-3 = -20 + 0
-3 = -20

Solving
-3 = -20

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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