1+x=(1+0.6x)(1+0.8x)(1+0.8x)

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Solution for 1+x=(1+0.6x)(1+0.8x)(1+0.8x) equation: 


Simplifying
1 + x = (1 + 0.6x)(1 + 0.8x)(1 + 0.8x)

Multiply (1 + 0.6x) * (1 + 0.8x)
1 + x = (1(1 + 0.8x) + 0.6x * (1 + 0.8x))(1 + 0.8x)
1 + x = ((1 * 1 + 0.8x * 1) + 0.6x * (1 + 0.8x))(1 + 0.8x)
1 + x = ((1 + 0.8x) + 0.6x * (1 + 0.8x))(1 + 0.8x)
1 + x = (1 + 0.8x + (1 * 0.6x + 0.8x * 0.6x))(1 + 0.8x)
1 + x = (1 + 0.8x + (0.6x + 0.48x2))(1 + 0.8x)

Combine like terms: 0.8x + 0.6x = 1.4x
1 + x = (1 + 1.4x + 0.48x2)(1 + 0.8x)

Multiply (1 + 1.4x + 0.48x2) * (1 + 0.8x)
1 + x = (1(1 + 0.8x) + 1.4x * (1 + 0.8x) + 0.48x2 * (1 + 0.8x))
1 + x = ((1 * 1 + 0.8x * 1) + 1.4x * (1 + 0.8x) + 0.48x2 * (1 + 0.8x))
1 + x = ((1 + 0.8x) + 1.4x * (1 + 0.8x) + 0.48x2 * (1 + 0.8x))
1 + x = (1 + 0.8x + (1 * 1.4x + 0.8x * 1.4x) + 0.48x2 * (1 + 0.8x))
1 + x = (1 + 0.8x + (1.4x + 1.12x2) + 0.48x2 * (1 + 0.8x))
1 + x = (1 + 0.8x + 1.4x + 1.12x2 + (1 * 0.48x2 + 0.8x * 0.48x2))
1 + x = (1 + 0.8x + 1.4x + 1.12x2 + (0.48x2 + 0.384x3))

Combine like terms: 0.8x + 1.4x = 2.2x
1 + x = (1 + 2.2x + 1.12x2 + 0.48x2 + 0.384x3)

Combine like terms: 1.12x2 + 0.48x2 = 1.6x2
1 + x = (1 + 2.2x + 1.6x2 + 0.384x3)

Add '-1' to each side of the equation.
1 + -1 + x = 1 + 2.2x + 1.6x2 + -1 + 0.384x3

Combine like terms: 1 + -1 = 0
0 + x = 1 + 2.2x + 1.6x2 + -1 + 0.384x3
x = 1 + 2.2x + 1.6x2 + -1 + 0.384x3

Reorder the terms:
x = 1 + -1 + 2.2x + 1.6x2 + 0.384x3

Combine like terms: 1 + -1 = 0
x = 0 + 2.2x + 1.6x2 + 0.384x3
x = 2.2x + 1.6x2 + 0.384x3

Solving
x = 2.2x + 1.6x2 + 0.384x3

Solving for variable 'x'.

Combine like terms: x + -2.2x = -1.2x
-1.2x + -1.6x2 + -0.384x3 = 2.2x + 1.6x2 + 0.384x3 + -2.2x + -1.6x2 + -0.384x3

Reorder the terms:
-1.2x + -1.6x2 + -0.384x3 = 2.2x + -2.2x + 1.6x2 + -1.6x2 + 0.384x3 + -0.384x3

Combine like terms: 2.2x + -2.2x = 0.0
-1.2x + -1.6x2 + -0.384x3 = 0.0 + 1.6x2 + -1.6x2 + 0.384x3 + -0.384x3
-1.2x + -1.6x2 + -0.384x3 = 1.6x2 + -1.6x2 + 0.384x3 + -0.384x3

Combine like terms: 1.6x2 + -1.6x2 = 0.0
-1.2x + -1.6x2 + -0.384x3 = 0.0 + 0.384x3 + -0.384x3
-1.2x + -1.6x2 + -0.384x3 = 0.384x3 + -0.384x3

Combine like terms: 0.384x3 + -0.384x3 = 0.000
-1.2x + -1.6x2 + -0.384x3 = 0.000

The solution to this equation could not be determined.

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