3x(x+8)=(2x+8)(x+8)

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


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

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

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

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

Multiply (8 + 2x) * (8 + x)
24x + 3x2 = (8(8 + x) + 2x * (8 + x))
24x + 3x2 = ((8 * 8 + x * 8) + 2x * (8 + x))
24x + 3x2 = ((64 + 8x) + 2x * (8 + x))
24x + 3x2 = (64 + 8x + (8 * 2x + x * 2x))
24x + 3x2 = (64 + 8x + (16x + 2x2))

Combine like terms: 8x + 16x = 24x
24x + 3x2 = (64 + 24x + 2x2)

Add '-24x' to each side of the equation.
24x + -24x + 3x2 = 64 + 24x + -24x + 2x2

Combine like terms: 24x + -24x = 0
0 + 3x2 = 64 + 24x + -24x + 2x2
3x2 = 64 + 24x + -24x + 2x2

Combine like terms: 24x + -24x = 0
3x2 = 64 + 0 + 2x2
3x2 = 64 + 2x2

Solving
3x2 = 64 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
3x2 + -2x2 = 64 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
1x2 = 64 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1x2 = 64 + 0
1x2 = 64

Divide each side by '1'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}

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