(25x^2+20xy+16x^2)(5x-4y)=

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Solution for (25x^2+20xy+16x^2)(5x-4y)= equation: 


Simplifying
(25x2 + 20xy + 16x2)(5x + -4y) = 0

Reorder the terms:
(20xy + 25x2 + 16x2)(5x + -4y) = 0

Combine like terms: 25x2 + 16x2 = 41x2
(20xy + 41x2)(5x + -4y) = 0

Multiply (20xy + 41x2) * (5x + -4y)
(20xy * (5x + -4y) + 41x2 * (5x + -4y)) = 0
((5x * 20xy + -4y * 20xy) + 41x2 * (5x + -4y)) = 0

Reorder the terms:
((-80xy2 + 100x2y) + 41x2 * (5x + -4y)) = 0
((-80xy2 + 100x2y) + 41x2 * (5x + -4y)) = 0
(-80xy2 + 100x2y + (5x * 41x2 + -4y * 41x2)) = 0

Reorder the terms:
(-80xy2 + 100x2y + (-164x2y + 205x3)) = 0
(-80xy2 + 100x2y + (-164x2y + 205x3)) = 0

Combine like terms: 100x2y + -164x2y = -64x2y
(-80xy2 + -64x2y + 205x3) = 0

Solving
-80xy2 + -64x2y + 205x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-80y2 + -64xy + 205x2) = 0

Factor a trinomial.
x((-20y + -41x)(4y + -5x)) = 0


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 '(-20y + -41x)' equal to zero and attempt to solve:

Simplifying
-20y + -41x = 0

Reorder the terms:
-41x + -20y = 0

Solving
-41x + -20y = 0

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

Add '20y' to each side of the equation.
-41x + -20y + 20y = 0 + 20y

Combine like terms: -20y + 20y = 0
-41x + 0 = 0 + 20y
-41x = 0 + 20y
Remove the zero:
-41x = 20y

Divide each side by '-41'.
x = -0.487804878y

Simplifying
x = -0.487804878y

Subproblem 3
Set the factor '(4y + -5x)' equal to zero and attempt to solve:

Simplifying
4y + -5x = 0

Reorder the terms:
-5x + 4y = 0

Solving
-5x + 4y = 0

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

Add '-4y' to each side of the equation.
-5x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-5x + 0 = 0 + -4y
-5x = 0 + -4y
Remove the zero:
-5x = -4y

Divide each side by '-5'.
x = 0.8y

Simplifying
x = 0.8y
Solution
x = {0, -0.487804878y, 0.8y}

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