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

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


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

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

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

Multiply (4 + 3x) * (3 + 4x)
(4(3 + 4x) + 3x * (3 + 4x)) = (2x + 6)(6x + 2)
((3 * 4 + 4x * 4) + 3x * (3 + 4x)) = (2x + 6)(6x + 2)
((12 + 16x) + 3x * (3 + 4x)) = (2x + 6)(6x + 2)
(12 + 16x + (3 * 3x + 4x * 3x)) = (2x + 6)(6x + 2)
(12 + 16x + (9x + 12x2)) = (2x + 6)(6x + 2)

Combine like terms: 16x + 9x = 25x
(12 + 25x + 12x2) = (2x + 6)(6x + 2)

Reorder the terms:
12 + 25x + 12x2 = (6 + 2x)(6x + 2)

Reorder the terms:
12 + 25x + 12x2 = (6 + 2x)(2 + 6x)

Multiply (6 + 2x) * (2 + 6x)
12 + 25x + 12x2 = (6(2 + 6x) + 2x * (2 + 6x))
12 + 25x + 12x2 = ((2 * 6 + 6x * 6) + 2x * (2 + 6x))
12 + 25x + 12x2 = ((12 + 36x) + 2x * (2 + 6x))
12 + 25x + 12x2 = (12 + 36x + (2 * 2x + 6x * 2x))
12 + 25x + 12x2 = (12 + 36x + (4x + 12x2))

Combine like terms: 36x + 4x = 40x
12 + 25x + 12x2 = (12 + 40x + 12x2)

Add '-12' to each side of the equation.
12 + 25x + -12 + 12x2 = 12 + 40x + -12 + 12x2

Reorder the terms:
12 + -12 + 25x + 12x2 = 12 + 40x + -12 + 12x2

Combine like terms: 12 + -12 = 0
0 + 25x + 12x2 = 12 + 40x + -12 + 12x2
25x + 12x2 = 12 + 40x + -12 + 12x2

Reorder the terms:
25x + 12x2 = 12 + -12 + 40x + 12x2

Combine like terms: 12 + -12 = 0
25x + 12x2 = 0 + 40x + 12x2
25x + 12x2 = 40x + 12x2

Add '-12x2' to each side of the equation.
25x + 12x2 + -12x2 = 40x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
25x + 0 = 40x + 12x2 + -12x2
25x = 40x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
25x = 40x + 0
25x = 40x

Solving
25x = 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
25x + -40x = 40x + -40x

Combine like terms: 25x + -40x = -15x
-15x = 40x + -40x

Combine like terms: 40x + -40x = 0
-15x = 0

Divide each side by '-15'.
x = 0

Simplifying
x = 0

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