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

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


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

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

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

Multiply (3 + 4x) * (-5 + 3x)
(3(-5 + 3x) + 4x * (-5 + 3x)) = (4x + -3)(3x + 5)
((-5 * 3 + 3x * 3) + 4x * (-5 + 3x)) = (4x + -3)(3x + 5)
((-15 + 9x) + 4x * (-5 + 3x)) = (4x + -3)(3x + 5)
(-15 + 9x + (-5 * 4x + 3x * 4x)) = (4x + -3)(3x + 5)
(-15 + 9x + (-20x + 12x2)) = (4x + -3)(3x + 5)

Combine like terms: 9x + -20x = -11x
(-15 + -11x + 12x2) = (4x + -3)(3x + 5)

Reorder the terms:
-15 + -11x + 12x2 = (-3 + 4x)(3x + 5)

Reorder the terms:
-15 + -11x + 12x2 = (-3 + 4x)(5 + 3x)

Multiply (-3 + 4x) * (5 + 3x)
-15 + -11x + 12x2 = (-3(5 + 3x) + 4x * (5 + 3x))
-15 + -11x + 12x2 = ((5 * -3 + 3x * -3) + 4x * (5 + 3x))
-15 + -11x + 12x2 = ((-15 + -9x) + 4x * (5 + 3x))
-15 + -11x + 12x2 = (-15 + -9x + (5 * 4x + 3x * 4x))
-15 + -11x + 12x2 = (-15 + -9x + (20x + 12x2))

Combine like terms: -9x + 20x = 11x
-15 + -11x + 12x2 = (-15 + 11x + 12x2)

Add '15' to each side of the equation.
-15 + -11x + 15 + 12x2 = -15 + 11x + 15 + 12x2

Reorder the terms:
-15 + 15 + -11x + 12x2 = -15 + 11x + 15 + 12x2

Combine like terms: -15 + 15 = 0
0 + -11x + 12x2 = -15 + 11x + 15 + 12x2
-11x + 12x2 = -15 + 11x + 15 + 12x2

Reorder the terms:
-11x + 12x2 = -15 + 15 + 11x + 12x2

Combine like terms: -15 + 15 = 0
-11x + 12x2 = 0 + 11x + 12x2
-11x + 12x2 = 11x + 12x2

Add '-12x2' to each side of the equation.
-11x + 12x2 + -12x2 = 11x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-11x + 0 = 11x + 12x2 + -12x2
-11x = 11x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-11x = 11x + 0
-11x = 11x

Solving
-11x = 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-11x + -11x = 11x + -11x

Combine like terms: -11x + -11x = -22x
-22x = 11x + -11x

Combine like terms: 11x + -11x = 0
-22x = 0

Divide each side by '-22'.
x = 0

Simplifying
x = 0

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