0=(1+0.3x)(1+0.4x)(1+0.1x)-1-x

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Solution for 0=(1+0.3x)(1+0.4x)(1+0.1x)-1-x equation: 


Simplifying
0 = (1 + 0.3x)(1 + 0.4x)(1 + 0.1x) + -1 + -1x

Multiply (1 + 0.3x) * (1 + 0.4x)
0 = (1(1 + 0.4x) + 0.3x * (1 + 0.4x))(1 + 0.1x) + -1 + -1x
0 = ((1 * 1 + 0.4x * 1) + 0.3x * (1 + 0.4x))(1 + 0.1x) + -1 + -1x
0 = ((1 + 0.4x) + 0.3x * (1 + 0.4x))(1 + 0.1x) + -1 + -1x
0 = (1 + 0.4x + (1 * 0.3x + 0.4x * 0.3x))(1 + 0.1x) + -1 + -1x
0 = (1 + 0.4x + (0.3x + 0.12x2))(1 + 0.1x) + -1 + -1x

Combine like terms: 0.4x + 0.3x = 0.7x
0 = (1 + 0.7x + 0.12x2)(1 + 0.1x) + -1 + -1x

Multiply (1 + 0.7x + 0.12x2) * (1 + 0.1x)
0 = (1(1 + 0.1x) + 0.7x * (1 + 0.1x) + 0.12x2 * (1 + 0.1x)) + -1 + -1x
0 = ((1 * 1 + 0.1x * 1) + 0.7x * (1 + 0.1x) + 0.12x2 * (1 + 0.1x)) + -1 + -1x
0 = ((1 + 0.1x) + 0.7x * (1 + 0.1x) + 0.12x2 * (1 + 0.1x)) + -1 + -1x
0 = (1 + 0.1x + (1 * 0.7x + 0.1x * 0.7x) + 0.12x2 * (1 + 0.1x)) + -1 + -1x
0 = (1 + 0.1x + (0.7x + 0.07x2) + 0.12x2 * (1 + 0.1x)) + -1 + -1x
0 = (1 + 0.1x + 0.7x + 0.07x2 + (1 * 0.12x2 + 0.1x * 0.12x2)) + -1 + -1x
0 = (1 + 0.1x + 0.7x + 0.07x2 + (0.12x2 + 0.012x3)) + -1 + -1x

Combine like terms: 0.1x + 0.7x = 0.8x
0 = (1 + 0.8x + 0.07x2 + 0.12x2 + 0.012x3) + -1 + -1x

Combine like terms: 0.07x2 + 0.12x2 = 0.19x2
0 = (1 + 0.8x + 0.19x2 + 0.012x3) + -1 + -1x

Reorder the terms:
0 = 1 + -1 + 0.8x + -1x + 0.19x2 + 0.012x3

Combine like terms: 1 + -1 = 0
0 = 0 + 0.8x + -1x + 0.19x2 + 0.012x3
0 = 0.8x + -1x + 0.19x2 + 0.012x3

Combine like terms: 0.8x + -1x = -0.2x
0 = -0.2x + 0.19x2 + 0.012x3

Solving
0 = -0.2x + 0.19x2 + 0.012x3

Solving for variable 'x'.
Remove the zero:
0.2x + -0.19x2 + -0.012x3 = -0.2x + 0.19x2 + 0.012x3 + 0.2x + -0.19x2 + -0.012x3

Reorder the terms:
0.2x + -0.19x2 + -0.012x3 = -0.2x + 0.2x + 0.19x2 + -0.19x2 + 0.012x3 + -0.012x3

Combine like terms: -0.2x + 0.2x = 0.0
0.2x + -0.19x2 + -0.012x3 = 0.0 + 0.19x2 + -0.19x2 + 0.012x3 + -0.012x3
0.2x + -0.19x2 + -0.012x3 = 0.19x2 + -0.19x2 + 0.012x3 + -0.012x3

Combine like terms: 0.19x2 + -0.19x2 = 0.00
0.2x + -0.19x2 + -0.012x3 = 0.00 + 0.012x3 + -0.012x3
0.2x + -0.19x2 + -0.012x3 = 0.012x3 + -0.012x3

Combine like terms: 0.012x3 + -0.012x3 = 0.000
0.2x + -0.19x2 + -0.012x3 = 0.000

The solution to this equation could not be determined.

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