5x(7x-3y)(7x-3y)=

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


Simplifying
5x(7x + -3y)(7x + -3y) = 0

Multiply (7x + -3y) * (7x + -3y)
5x(7x * (7x + -3y) + -3y * (7x + -3y)) = 0
5x((7x * 7x + -3y * 7x) + -3y * (7x + -3y)) = 0

Reorder the terms:
5x((-21xy + 49x2) + -3y * (7x + -3y)) = 0
5x((-21xy + 49x2) + -3y * (7x + -3y)) = 0
5x(-21xy + 49x2 + (7x * -3y + -3y * -3y)) = 0
5x(-21xy + 49x2 + (-21xy + 9y2)) = 0

Reorder the terms:
5x(-21xy + -21xy + 49x2 + 9y2) = 0

Combine like terms: -21xy + -21xy = -42xy
5x(-42xy + 49x2 + 9y2) = 0
(-42xy * 5x + 49x2 * 5x + 9y2 * 5x) = 0

Reorder the terms:
(45xy2 + -210x2y + 245x3) = 0
(45xy2 + -210x2y + 245x3) = 0

Solving
45xy2 + -210x2y + 245x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(9y2 + -42xy + 49x2) = 0

Factor a trinomial.
5x((3y + -7x)(3y + -7x)) = 0

Ignore the factor 5.

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 '(3y + -7x)' equal to zero and attempt to solve:

Simplifying
3y + -7x = 0

Reorder the terms:
-7x + 3y = 0

Solving
-7x + 3y = 0

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

Add '-3y' to each side of the equation.
-7x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-7x + 0 = 0 + -3y
-7x = 0 + -3y
Remove the zero:
-7x = -3y

Divide each side by '-7'.
x = 0.4285714286y

Simplifying
x = 0.4285714286y

Subproblem 3
Set the factor '(3y + -7x)' equal to zero and attempt to solve:

Simplifying
3y + -7x = 0

Reorder the terms:
-7x + 3y = 0

Solving
-7x + 3y = 0

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

Add '-3y' to each side of the equation.
-7x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-7x + 0 = 0 + -3y
-7x = 0 + -3y
Remove the zero:
-7x = -3y

Divide each side by '-7'.
x = 0.4285714286y

Simplifying
x = 0.4285714286y
Solution
x = {0, 0.4285714286y, 0.4285714286y}

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