(5x+7y^3)(7y^3-4x)=

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Solution for (5x+7y^3)(7y^3-4x)= equation: 


Simplifying
(5x + 7y3)(7y3 + -4x) = 0

Reorder the terms:
(5x + 7y3)(-4x + 7y3) = 0

Multiply (5x + 7y3) * (-4x + 7y3)
(5x * (-4x + 7y3) + 7y3 * (-4x + 7y3)) = 0
((-4x * 5x + 7y3 * 5x) + 7y3 * (-4x + 7y3)) = 0

Reorder the terms:
((35xy3 + -20x2) + 7y3 * (-4x + 7y3)) = 0
((35xy3 + -20x2) + 7y3 * (-4x + 7y3)) = 0
(35xy3 + -20x2 + (-4x * 7y3 + 7y3 * 7y3)) = 0
(35xy3 + -20x2 + (-28xy3 + 49y6)) = 0

Reorder the terms:
(35xy3 + -28xy3 + -20x2 + 49y6) = 0

Combine like terms: 35xy3 + -28xy3 = 7xy3
(7xy3 + -20x2 + 49y6) = 0

Solving
7xy3 + -20x2 + 49y6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5x + -7y3)(4x + -7y3) = 0


Subproblem 1
Set the factor '(-5x + -7y3)' equal to zero and attempt to solve:

Simplifying
-5x + -7y3 = 0

Solving
-5x + -7y3 = 0

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

Add '7y3' to each side of the equation.
-5x + -7y3 + 7y3 = 0 + 7y3

Combine like terms: -7y3 + 7y3 = 0
-5x + 0 = 0 + 7y3
-5x = 0 + 7y3
Remove the zero:
-5x = 7y3

Divide each side by '-5'.
x = -1.4y3

Simplifying
x = -1.4y3

Subproblem 2
Set the factor '(4x + -7y3)' equal to zero and attempt to solve:

Simplifying
4x + -7y3 = 0

Solving
4x + -7y3 = 0

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

Add '7y3' to each side of the equation.
4x + -7y3 + 7y3 = 0 + 7y3

Combine like terms: -7y3 + 7y3 = 0
4x + 0 = 0 + 7y3
4x = 0 + 7y3
Remove the zero:
4x = 7y3

Divide each side by '4'.
x = 1.75y3

Simplifying
x = 1.75y3
Solution
x = {-1.4y3, 1.75y3}

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