(6x+4)*(4x+2)=(8x+4)*(3x+2)

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Solution for (6x+4)*(4x+2)=(8x+4)*(3x+2) equation:


Simplifying
(6x + 4)(4x + 2) = (8x + 4)(3x + 2)

Reorder the terms:
(4 + 6x)(4x + 2) = (8x + 4)(3x + 2)

Reorder the terms:
(4 + 6x)(2 + 4x) = (8x + 4)(3x + 2)

Multiply (4 + 6x) * (2 + 4x)
(4(2 + 4x) + 6x * (2 + 4x)) = (8x + 4)(3x + 2)
((2 * 4 + 4x * 4) + 6x * (2 + 4x)) = (8x + 4)(3x + 2)
((8 + 16x) + 6x * (2 + 4x)) = (8x + 4)(3x + 2)
(8 + 16x + (2 * 6x + 4x * 6x)) = (8x + 4)(3x + 2)
(8 + 16x + (12x + 24x2)) = (8x + 4)(3x + 2)

Combine like terms: 16x + 12x = 28x
(8 + 28x + 24x2) = (8x + 4)(3x + 2)

Reorder the terms:
8 + 28x + 24x2 = (4 + 8x)(3x + 2)

Reorder the terms:
8 + 28x + 24x2 = (4 + 8x)(2 + 3x)

Multiply (4 + 8x) * (2 + 3x)
8 + 28x + 24x2 = (4(2 + 3x) + 8x * (2 + 3x))
8 + 28x + 24x2 = ((2 * 4 + 3x * 4) + 8x * (2 + 3x))
8 + 28x + 24x2 = ((8 + 12x) + 8x * (2 + 3x))
8 + 28x + 24x2 = (8 + 12x + (2 * 8x + 3x * 8x))
8 + 28x + 24x2 = (8 + 12x + (16x + 24x2))

Combine like terms: 12x + 16x = 28x
8 + 28x + 24x2 = (8 + 28x + 24x2)

Add '-8' to each side of the equation.
8 + 28x + -8 + 24x2 = 8 + 28x + -8 + 24x2

Reorder the terms:
8 + -8 + 28x + 24x2 = 8 + 28x + -8 + 24x2

Combine like terms: 8 + -8 = 0
0 + 28x + 24x2 = 8 + 28x + -8 + 24x2
28x + 24x2 = 8 + 28x + -8 + 24x2

Reorder the terms:
28x + 24x2 = 8 + -8 + 28x + 24x2

Combine like terms: 8 + -8 = 0
28x + 24x2 = 0 + 28x + 24x2
28x + 24x2 = 28x + 24x2

Add '-28x' to each side of the equation.
28x + -28x + 24x2 = 28x + -28x + 24x2

Combine like terms: 28x + -28x = 0
0 + 24x2 = 28x + -28x + 24x2
24x2 = 28x + -28x + 24x2

Combine like terms: 28x + -28x = 0
24x2 = 0 + 24x2
24x2 = 24x2

Add '-24x2' to each side of the equation.
24x2 + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
0 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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