0.0000013=x(2x+.1)(2x+.1)

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Solution for 0.0000013=x(2x+.1)(2x+.1) equation: 


Simplifying
0.0000013 = x(2x + 0.1)(2x + 0.1)

Reorder the terms:
0.0000013 = x(0.1 + 2x)(2x + 0.1)

Reorder the terms:
0.0000013 = x(0.1 + 2x)(0.1 + 2x)

Multiply (0.1 + 2x) * (0.1 + 2x)
0.0000013 = x(0.1(0.1 + 2x) + 2x * (0.1 + 2x))
0.0000013 = x((0.1 * 0.1 + 2x * 0.1) + 2x * (0.1 + 2x))
0.0000013 = x((0.01 + 0.2x) + 2x * (0.1 + 2x))
0.0000013 = x(0.01 + 0.2x + (0.1 * 2x + 2x * 2x))
0.0000013 = x(0.01 + 0.2x + (0.2x + 4x2))

Combine like terms: 0.2x + 0.2x = 0.4x
0.0000013 = x(0.01 + 0.4x + 4x2)
0.0000013 = (0.01 * x + 0.4x * x + 4x2 * x)
0.0000013 = (0.01x + 0.4x2 + 4x3)

Solving
0.0000013 = 0.01x + 0.4x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
0.0000013 + -0.01x + -0.4x2 + -4x3 = 0.01x + -0.01x + 0.4x2 + -0.4x2 + 4x3 + -4x3

Combine like terms: 0.01x + -0.01x = 0.00
0.0000013 + -0.01x + -0.4x2 + -4x3 = 0.00 + 0.4x2 + -0.4x2 + 4x3 + -4x3
0.0000013 + -0.01x + -0.4x2 + -4x3 = 0.4x2 + -0.4x2 + 4x3 + -4x3

Combine like terms: 0.4x2 + -0.4x2 = 0.0
0.0000013 + -0.01x + -0.4x2 + -4x3 = 0.0 + 4x3 + -4x3
0.0000013 + -0.01x + -0.4x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
0.0000013 + -0.01x + -0.4x2 + -4x3 = 0

The solution to this equation could not be determined.

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