(X+2)(x+10)+68=(x)(x+8)

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Solution for (X+2)(x+10)+68=(x)(x+8) equation: 


Simplifying
(X + 2)(x + 10) + 68 = (x)(x + 8)

Reorder the terms:
(2 + X)(x + 10) + 68 = (x)(x + 8)

Reorder the terms:
(2 + X)(10 + x) + 68 = (x)(x + 8)

Multiply (2 + X) * (10 + x)
(2(10 + x) + X(10 + x)) + 68 = (x)(x + 8)
((10 * 2 + x * 2) + X(10 + x)) + 68 = (x)(x + 8)
((20 + 2x) + X(10 + x)) + 68 = (x)(x + 8)
(20 + 2x + (10 * X + x * X)) + 68 = (x)(x + 8)
(20 + 2x + (10X + xX)) + 68 = (x)(x + 8)

Reorder the terms:
(20 + 10X + 2x + xX) + 68 = (x)(x + 8)
(20 + 10X + 2x + xX) + 68 = (x)(x + 8)

Reorder the terms:
20 + 68 + 10X + 2x + xX = (x)(x + 8)

Combine like terms: 20 + 68 = 88
88 + 10X + 2x + xX = (x)(x + 8)

Reorder the terms:
88 + 10X + 2x + xX = x(8 + x)
88 + 10X + 2x + xX = (8 * x + x * x)
88 + 10X + 2x + xX = (8x + x2)

Solving
88 + 10X + 2x + xX = 8x + x2

Solving for variable 'X'.

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

Add '-88' to each side of the equation.
88 + 10X + 2x + -88 + xX = 8x + -88 + x2

Reorder the terms:
88 + -88 + 10X + 2x + xX = 8x + -88 + x2

Combine like terms: 88 + -88 = 0
0 + 10X + 2x + xX = 8x + -88 + x2
10X + 2x + xX = 8x + -88 + x2

Reorder the terms:
10X + 2x + xX = -88 + 8x + x2

Add '-2x' to each side of the equation.
10X + 2x + -2x + xX = -88 + 8x + -2x + x2

Combine like terms: 2x + -2x = 0
10X + 0 + xX = -88 + 8x + -2x + x2
10X + xX = -88 + 8x + -2x + x2

Combine like terms: 8x + -2x = 6x
10X + xX = -88 + 6x + x2

Reorder the terms:
88 + 10X + -6x + xX + -1x2 = -88 + 6x + x2 + 88 + -6x + -1x2

Reorder the terms:
88 + 10X + -6x + xX + -1x2 = -88 + 88 + 6x + -6x + x2 + -1x2

Combine like terms: -88 + 88 = 0
88 + 10X + -6x + xX + -1x2 = 0 + 6x + -6x + x2 + -1x2
88 + 10X + -6x + xX + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
88 + 10X + -6x + xX + -1x2 = 0 + x2 + -1x2
88 + 10X + -6x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
88 + 10X + -6x + xX + -1x2 = 0

The solution to this equation could not be determined.

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