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

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


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

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

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

Multiply (-3 + 4x) * (1 + 3x)
(-3(1 + 3x) + 4x * (1 + 3x)) = (3x + -4)(2x + 2)
((1 * -3 + 3x * -3) + 4x * (1 + 3x)) = (3x + -4)(2x + 2)
((-3 + -9x) + 4x * (1 + 3x)) = (3x + -4)(2x + 2)
(-3 + -9x + (1 * 4x + 3x * 4x)) = (3x + -4)(2x + 2)
(-3 + -9x + (4x + 12x2)) = (3x + -4)(2x + 2)

Combine like terms: -9x + 4x = -5x
(-3 + -5x + 12x2) = (3x + -4)(2x + 2)

Reorder the terms:
-3 + -5x + 12x2 = (-4 + 3x)(2x + 2)

Reorder the terms:
-3 + -5x + 12x2 = (-4 + 3x)(2 + 2x)

Multiply (-4 + 3x) * (2 + 2x)
-3 + -5x + 12x2 = (-4(2 + 2x) + 3x * (2 + 2x))
-3 + -5x + 12x2 = ((2 * -4 + 2x * -4) + 3x * (2 + 2x))
-3 + -5x + 12x2 = ((-8 + -8x) + 3x * (2 + 2x))
-3 + -5x + 12x2 = (-8 + -8x + (2 * 3x + 2x * 3x))
-3 + -5x + 12x2 = (-8 + -8x + (6x + 6x2))

Combine like terms: -8x + 6x = -2x
-3 + -5x + 12x2 = (-8 + -2x + 6x2)

Solving
-3 + -5x + 12x2 = -8 + -2x + 6x2

Solving for variable 'x'.

Reorder the terms:
-3 + 8 + -5x + 2x + 12x2 + -6x2 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Combine like terms: -3 + 8 = 5
5 + -5x + 2x + 12x2 + -6x2 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Combine like terms: -5x + 2x = -3x
5 + -3x + 12x2 + -6x2 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Combine like terms: 12x2 + -6x2 = 6x2
5 + -3x + 6x2 = -8 + -2x + 6x2 + 8 + 2x + -6x2

Reorder the terms:
5 + -3x + 6x2 = -8 + 8 + -2x + 2x + 6x2 + -6x2

Combine like terms: -8 + 8 = 0
5 + -3x + 6x2 = 0 + -2x + 2x + 6x2 + -6x2
5 + -3x + 6x2 = -2x + 2x + 6x2 + -6x2

Combine like terms: -2x + 2x = 0
5 + -3x + 6x2 = 0 + 6x2 + -6x2
5 + -3x + 6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
5 + -3x + 6x2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
0.8333333333 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.5x + -0.8333333333 + x2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.5x + x2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.5x + x2 = 0 + -0.8333333333
-0.5x + x2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.5x + x2 = -0.8333333333

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.8333333333 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.8333333333 + 0.0625

Combine like terms: -0.8333333333 + 0.0625 = -0.7708333333
0.0625 + -0.5x + x2 = -0.7708333333

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.7708333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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