2x^2*4y^7=7x^3

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Solution for 2x^2*4y^7=7x^3 equation: 


Simplifying
2x2 * 4y7 = 7x3

Reorder the terms for easier multiplication:
2 * 4x2 * y7 = 7x3

Multiply 2 * 4
8x2 * y7 = 7x3

Multiply x2 * y7
8x2y7 = 7x3

Solving
8x2y7 = 7x3

Solving for variable 'x'.

Combine like terms: 7x3 + -7x3 = 0
8x2y7 + -7x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(8y7 + -7x) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(8y7 + -7x)' equal to zero and attempt to solve:

Simplifying
8y7 + -7x = 0

Reorder the terms:
-7x + 8y7 = 0

Solving
-7x + 8y7 = 0

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

Add '-8y7' to each side of the equation.
-7x + 8y7 + -8y7 = 0 + -8y7

Combine like terms: 8y7 + -8y7 = 0
-7x + 0 = 0 + -8y7
-7x = 0 + -8y7
Remove the zero:
-7x = -8y7

Divide each side by '-7'.
x = 1.142857143y7

Simplifying
x = 1.142857143y7
Solution
x = {0, 1.142857143y7}

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