13(x^3-3)+16y^2=1

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Solution for 13(x^3-3)+16y^2=1 equation:


Simplifying
13(x3 + -3) + 16y2 = 1

Reorder the terms:
13(-3 + x3) + 16y2 = 1
(-3 * 13 + x3 * 13) + 16y2 = 1
(-39 + 13x3) + 16y2 = 1

Solving
-39 + 13x3 + 16y2 = 1

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 13x3 + 39 + 16y2 = 1 + 39

Reorder the terms:
-39 + 39 + 13x3 + 16y2 = 1 + 39

Combine like terms: -39 + 39 = 0
0 + 13x3 + 16y2 = 1 + 39
13x3 + 16y2 = 1 + 39

Combine like terms: 1 + 39 = 40
13x3 + 16y2 = 40

Add '-16y2' to each side of the equation.
13x3 + 16y2 + -16y2 = 40 + -16y2

Combine like terms: 16y2 + -16y2 = 0
13x3 + 0 = 40 + -16y2
13x3 = 40 + -16y2

Divide each side by '13'.
x3 = 3.076923077 + -1.230769231y2

Simplifying
x3 = 3.076923077 + -1.230769231y2

Reorder the terms:
-3.076923077 + x3 + 1.230769231y2 = 3.076923077 + -1.230769231y2 + -3.076923077 + 1.230769231y2

Reorder the terms:
-3.076923077 + x3 + 1.230769231y2 = 3.076923077 + -3.076923077 + -1.230769231y2 + 1.230769231y2

Combine like terms: 3.076923077 + -3.076923077 = 0.000000000
-3.076923077 + x3 + 1.230769231y2 = 0.000000000 + -1.230769231y2 + 1.230769231y2
-3.076923077 + x3 + 1.230769231y2 = -1.230769231y2 + 1.230769231y2

Combine like terms: -1.230769231y2 + 1.230769231y2 = 0.000000000
-3.076923077 + x3 + 1.230769231y2 = 0.000000000

The solution to this equation could not be determined.

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