-42x^3+58xy^2=0

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Solution for -42x^3+58xy^2=0 equation: 


Simplifying
-42x3 + 58xy2 = 0

Reorder the terms:
58xy2 + -42x3 = 0

Solving
58xy2 + -42x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(29y2 + -21x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(29y2 + -21x2)' equal to zero and attempt to solve:

Simplifying
29y2 + -21x2 = 0

Reorder the terms:
-21x2 + 29y2 = 0

Solving
-21x2 + 29y2 = 0

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

Add '-29y2' to each side of the equation.
-21x2 + 29y2 + -29y2 = 0 + -29y2

Combine like terms: 29y2 + -29y2 = 0
-21x2 + 0 = 0 + -29y2
-21x2 = 0 + -29y2
Remove the zero:
-21x2 = -29y2

Divide each side by '-21'.
x2 = 1.380952381y2

Simplifying
x2 = 1.380952381y2

Take the square root of each side:
x = {-1.175139303y, 1.175139303y}
Solution
x = {0, -1.175139303y, 1.175139303y}

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