56(2y+x^3)*7y^2=365

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Solution for 56(2y+x^3)*7y^2=365 equation: 


Simplifying
56(2y + x3) * 7y2 = 365

Reorder the terms:
56(x3 + 2y) * 7y2 = 365

Reorder the terms for easier multiplication:
56 * 7y2(x3 + 2y) = 365

Multiply 56 * 7
392y2(x3 + 2y) = 365
(x3 * 392y2 + 2y * 392y2) = 365
(392x3y2 + 784y3) = 365

Solving
392x3y2 + 784y3 = 365

Solving for variable 'x'.

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

Add '-784y3' to each side of the equation.
392x3y2 + 784y3 + -784y3 = 365 + -784y3

Combine like terms: 784y3 + -784y3 = 0
392x3y2 + 0 = 365 + -784y3
392x3y2 = 365 + -784y3

Divide each side by '392y2'.
x3 = 0.931122449y-2 + -2y

Simplifying
x3 = 0.931122449y-2 + -2y

Reorder the terms:
x3 + -0.931122449y-2 + 2y = 0.931122449y-2 + -0.931122449y-2 + -2y + 2y

Combine like terms: 0.931122449y-2 + -0.931122449y-2 = 0.000000000
x3 + -0.931122449y-2 + 2y = 0.000000000 + -2y + 2y
x3 + -0.931122449y-2 + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
x3 + -0.931122449y-2 + 2y = 0

Factor out the Greatest Common Factor (GCF), 'y-2'.
y-2(x3y2 + -0.931122449 + 2y3) = 0


Subproblem 1
Set the factor 'y-2' equal to zero and attempt to solve:

Simplifying
y-2 = 0

Solving
y-2 = 0

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

Add '-1y-2' to each side of the equation.
y-2 + -1y-2 = 0 + -1y-2
Remove the zero:
0 = -1y-2

Simplifying
0 = -1y-2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(x3y2 + -0.931122449 + 2y3)' equal to zero and attempt to solve:

Simplifying
x3y2 + -0.931122449 + 2y3 = 0

Reorder the terms:
-0.931122449 + x3y2 + 2y3 = 0

Solving
-0.931122449 + x3y2 + 2y3 = 0

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

Add '0.931122449' to each side of the equation.
-0.931122449 + x3y2 + 0.931122449 + 2y3 = 0 + 0.931122449

Reorder the terms:
-0.931122449 + 0.931122449 + x3y2 + 2y3 = 0 + 0.931122449

Combine like terms: -0.931122449 + 0.931122449 = 0.000000000
0.000000000 + x3y2 + 2y3 = 0 + 0.931122449
x3y2 + 2y3 = 0 + 0.931122449

Combine like terms: 0 + 0.931122449 = 0.931122449
x3y2 + 2y3 = 0.931122449

Add '-2y3' to each side of the equation.
x3y2 + 2y3 + -2y3 = 0.931122449 + -2y3

Combine like terms: 2y3 + -2y3 = 0
x3y2 + 0 = 0.931122449 + -2y3
x3y2 = 0.931122449 + -2y3

Divide each side by 'y2'.
x3 = 0.931122449y-2 + -2y

Simplifying
x3 = 0.931122449y-2 + -2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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