6x^2-7y^3+5=-12x^2+8y^3+30

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Solution for 6x^2-7y^3+5=-12x^2+8y^3+30 equation:


Simplifying
6x2 + -7y3 + 5 = -12x2 + 8y3 + 30

Reorder the terms:
5 + 6x2 + -7y3 = -12x2 + 8y3 + 30

Reorder the terms:
5 + 6x2 + -7y3 = 30 + -12x2 + 8y3

Solving
5 + 6x2 + -7y3 = 30 + -12x2 + 8y3

Solving for variable 'x'.

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

Add '12x2' to each side of the equation.
5 + 6x2 + 12x2 + -7y3 = 30 + -12x2 + 12x2 + 8y3

Combine like terms: 6x2 + 12x2 = 18x2
5 + 18x2 + -7y3 = 30 + -12x2 + 12x2 + 8y3

Combine like terms: -12x2 + 12x2 = 0
5 + 18x2 + -7y3 = 30 + 0 + 8y3
5 + 18x2 + -7y3 = 30 + 8y3

Add '-5' to each side of the equation.
5 + 18x2 + -5 + -7y3 = 30 + -5 + 8y3

Reorder the terms:
5 + -5 + 18x2 + -7y3 = 30 + -5 + 8y3

Combine like terms: 5 + -5 = 0
0 + 18x2 + -7y3 = 30 + -5 + 8y3
18x2 + -7y3 = 30 + -5 + 8y3

Combine like terms: 30 + -5 = 25
18x2 + -7y3 = 25 + 8y3

Add '7y3' to each side of the equation.
18x2 + -7y3 + 7y3 = 25 + 8y3 + 7y3

Combine like terms: -7y3 + 7y3 = 0
18x2 + 0 = 25 + 8y3 + 7y3
18x2 = 25 + 8y3 + 7y3

Combine like terms: 8y3 + 7y3 = 15y3
18x2 = 25 + 15y3

Divide each side by '18'.
x2 = 1.388888889 + 0.8333333333y3

Simplifying
x2 = 1.388888889 + 0.8333333333y3

Reorder the terms:
-1.388888889 + x2 + -0.8333333333y3 = 1.388888889 + 0.8333333333y3 + -1.388888889 + -0.8333333333y3

Reorder the terms:
-1.388888889 + x2 + -0.8333333333y3 = 1.388888889 + -1.388888889 + 0.8333333333y3 + -0.8333333333y3

Combine like terms: 1.388888889 + -1.388888889 = 0.000000000
-1.388888889 + x2 + -0.8333333333y3 = 0.000000000 + 0.8333333333y3 + -0.8333333333y3
-1.388888889 + x2 + -0.8333333333y3 = 0.8333333333y3 + -0.8333333333y3

Combine like terms: 0.8333333333y3 + -0.8333333333y3 = 0.0000000000
-1.388888889 + x2 + -0.8333333333y3 = 0.0000000000

The solution to this equation could not be determined.

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