7X^3+3Y^2+2Z=414

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Solution for 7X^3+3Y^2+2Z=414 equation: 


Simplifying
7X3 + 3Y2 + 2Z = 414

Solving
7X3 + 3Y2 + 2Z = 414

Solving for variable 'X'.

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

Add '-3Y2' to each side of the equation.
7X3 + 3Y2 + -3Y2 + 2Z = 414 + -3Y2

Combine like terms: 3Y2 + -3Y2 = 0
7X3 + 0 + 2Z = 414 + -3Y2
7X3 + 2Z = 414 + -3Y2

Add '-2Z' to each side of the equation.
7X3 + 2Z + -2Z = 414 + -3Y2 + -2Z

Combine like terms: 2Z + -2Z = 0
7X3 + 0 = 414 + -3Y2 + -2Z
7X3 = 414 + -3Y2 + -2Z

Divide each side by '7'.
X3 = 59.14285714 + -0.4285714286Y2 + -0.2857142857Z

Simplifying
X3 = 59.14285714 + -0.4285714286Y2 + -0.2857142857Z

Reorder the terms:
-59.14285714 + X3 + 0.4285714286Y2 + 0.2857142857Z = 59.14285714 + -0.4285714286Y2 + -0.2857142857Z + -59.14285714 + 0.4285714286Y2 + 0.2857142857Z

Reorder the terms:
-59.14285714 + X3 + 0.4285714286Y2 + 0.2857142857Z = 59.14285714 + -59.14285714 + -0.4285714286Y2 + 0.4285714286Y2 + -0.2857142857Z + 0.2857142857Z

Combine like terms: 59.14285714 + -59.14285714 = 0.00000000
-59.14285714 + X3 + 0.4285714286Y2 + 0.2857142857Z = 0.00000000 + -0.4285714286Y2 + 0.4285714286Y2 + -0.2857142857Z + 0.2857142857Z
-59.14285714 + X3 + 0.4285714286Y2 + 0.2857142857Z = -0.4285714286Y2 + 0.4285714286Y2 + -0.2857142857Z + 0.2857142857Z

Combine like terms: -0.4285714286Y2 + 0.4285714286Y2 = 0.0000000000
-59.14285714 + X3 + 0.4285714286Y2 + 0.2857142857Z = 0.0000000000 + -0.2857142857Z + 0.2857142857Z
-59.14285714 + X3 + 0.4285714286Y2 + 0.2857142857Z = -0.2857142857Z + 0.2857142857Z

Combine like terms: -0.2857142857Z + 0.2857142857Z = 0.0000000000
-59.14285714 + X3 + 0.4285714286Y2 + 0.2857142857Z = 0.0000000000

The solution to this equation could not be determined.

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