0=(.2-x)*(.0002-3x)*(.0002-3x)*(.0002-3x)

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Solution for 0=(.2-x)*(.0002-3x)*(.0002-3x)*(.0002-3x) equation:


Simplifying
0 = (0.2 + -1x)(0.0002 + -3x)(0.0002 + -3x)(0.0002 + -3x)

Multiply (0.2 + -1x) * (0.0002 + -3x)
0 = (0.2(0.0002 + -3x) + -1x * (0.0002 + -3x))(0.0002 + -3x)(0.0002 + -3x)
0 = ((0.0002 * 0.2 + -3x * 0.2) + -1x * (0.0002 + -3x))(0.0002 + -3x)(0.0002 + -3x)
0 = ((0.00004 + -0.6x) + -1x * (0.0002 + -3x))(0.0002 + -3x)(0.0002 + -3x)
0 = (0.00004 + -0.6x + (0.0002 * -1x + -3x * -1x))(0.0002 + -3x)(0.0002 + -3x)
0 = (0.00004 + -0.6x + (-0.0002x + 3x2))(0.0002 + -3x)(0.0002 + -3x)

Combine like terms: -0.6x + -0.0002x = -0.6002x
0 = (0.00004 + -0.6002x + 3x2)(0.0002 + -3x)(0.0002 + -3x)

Multiply (0.00004 + -0.6002x + 3x2) * (0.0002 + -3x)
0 = (0.00004(0.0002 + -3x) + -0.6002x * (0.0002 + -3x) + 3x2 * (0.0002 + -3x))(0.0002 + -3x)
0 = ((0.0002 * 0.00004 + -3x * 0.00004) + -0.6002x * (0.0002 + -3x) + 3x2 * (0.0002 + -3x))(0.0002 + -3x)
0 = ((0.000000008 + -0.00012x) + -0.6002x * (0.0002 + -3x) + 3x2 * (0.0002 + -3x))(0.0002 + -3x)
0 = (0.000000008 + -0.00012x + (0.0002 * -0.6002x + -3x * -0.6002x) + 3x2 * (0.0002 + -3x))(0.0002 + -3x)
0 = (0.000000008 + -0.00012x + (-0.00012004x + 1.8006x2) + 3x2 * (0.0002 + -3x))(0.0002 + -3x)
0 = (0.000000008 + -0.00012x + -0.00012004x + 1.8006x2 + (0.0002 * 3x2 + -3x * 3x2))(0.0002 + -3x)
0 = (0.000000008 + -0.00012x + -0.00012004x + 1.8006x2 + (0.0006x2 + -9x3))(0.0002 + -3x)

Combine like terms: -0.00012x + -0.00012004x = -0.00024004x
0 = (0.000000008 + -0.00024004x + 1.8006x2 + 0.0006x2 + -9x3)(0.0002 + -3x)

Combine like terms: 1.8006x2 + 0.0006x2 = 1.8012x2
0 = (0.000000008 + -0.00024004x + 1.8012x2 + -9x3)(0.0002 + -3x)

Multiply (0.000000008 + -0.00024004x + 1.8012x2 + -9x3) * (0.0002 + -3x)
0 = (0.000000008(0.0002 + -3x) + -0.00024004x * (0.0002 + -3x) + 1.8012x2 * (0.0002 + -3x) + -9x3 * (0.0002 + -3x))
0 = ((0.0002 * 0.000000008 + -3x * 0.000000008) + -0.00024004x * (0.0002 + -3x) + 1.8012x2 * (0.0002 + -3x) + -9x3 * (0.0002 + -3x))
0 = ((0.0000000000016 + -0.000000024x) + -0.00024004x * (0.0002 + -3x) + 1.8012x2 * (0.0002 + -3x) + -9x3 * (0.0002 + -3x))
0 = (0.0000000000016 + -0.000000024x + (0.0002 * -0.00024004x + -3x * -0.00024004x) + 1.8012x2 * (0.0002 + -3x) + -9x3 * (0.0002 + -3x))
0 = (0.0000000000016 + -0.000000024x + (-0.000000048008x + 0.00072012x2) + 1.8012x2 * (0.0002 + -3x) + -9x3 * (0.0002 + -3x))
0 = (0.0000000000016 + -0.000000024x + -0.000000048008x + 0.00072012x2 + (0.0002 * 1.8012x2 + -3x * 1.8012x2) + -9x3 * (0.0002 + -3x))
0 = (0.0000000000016 + -0.000000024x + -0.000000048008x + 0.00072012x2 + (0.00036024x2 + -5.4036x3) + -9x3 * (0.0002 + -3x))
0 = (0.0000000000016 + -0.000000024x + -0.000000048008x + 0.00072012x2 + 0.00036024x2 + -5.4036x3 + (0.0002 * -9x3 + -3x * -9x3))
0 = (0.0000000000016 + -0.000000024x + -0.000000048008x + 0.00072012x2 + 0.00036024x2 + -5.4036x3 + (-0.0018x3 + 27x4))

Combine like terms: -0.000000024x + -0.000000048008x = -0.000000072008x
0 = (0.0000000000016 + -0.000000072008x + 0.00072012x2 + 0.00036024x2 + -5.4036x3 + -0.0018x3 + 27x4)

Combine like terms: 0.00072012x2 + 0.00036024x2 = 0.00108036x2
0 = (0.0000000000016 + -0.000000072008x + 0.00108036x2 + -5.4036x3 + -0.0018x3 + 27x4)

Combine like terms: -5.4036x3 + -0.0018x3 = -5.4054x3
0 = (0.0000000000016 + -0.000000072008x + 0.00108036x2 + -5.4054x3 + 27x4)

Solving
0 = 0.0000000000016 + -0.000000072008x + 0.00108036x2 + -5.4054x3 + 27x4

Solving for variable 'x'.

Combine like terms: 0 + -0.0000000000016 = -0.0000000000016
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0.0000000000016 + -0.000000072008x + 0.00108036x2 + -5.4054x3 + 27x4 + -0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4

Reorder the terms:
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0.0000000000016 + -0.0000000000016 + -0.000000072008x + 0.000000072008x + 0.00108036x2 + -0.00108036x2 + -5.4054x3 + 5.4054x3 + 27x4 + -27x4

Combine like terms: 0.0000000000016 + -0.0000000000016 = 0.0000000000000
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0.0000000000000 + -0.000000072008x + 0.000000072008x + 0.00108036x2 + -0.00108036x2 + -5.4054x3 + 5.4054x3 + 27x4 + -27x4
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = -0.000000072008x + 0.000000072008x + 0.00108036x2 + -0.00108036x2 + -5.4054x3 + 5.4054x3 + 27x4 + -27x4

Combine like terms: -0.000000072008x + 0.000000072008x = 0.000000000000
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0.000000000000 + 0.00108036x2 + -0.00108036x2 + -5.4054x3 + 5.4054x3 + 27x4 + -27x4
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0.00108036x2 + -0.00108036x2 + -5.4054x3 + 5.4054x3 + 27x4 + -27x4

Combine like terms: 0.00108036x2 + -0.00108036x2 = 0.00000000
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0.00000000 + -5.4054x3 + 5.4054x3 + 27x4 + -27x4
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = -5.4054x3 + 5.4054x3 + 27x4 + -27x4

Combine like terms: -5.4054x3 + 5.4054x3 = 0.0000
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0.0000 + 27x4 + -27x4
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 27x4 + -27x4

Combine like terms: 27x4 + -27x4 = 0
-0.0000000000016 + 0.000000072008x + -0.00108036x2 + 5.4054x3 + -27x4 = 0

The solution to this equation could not be determined.

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