x(4x+5y)=

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Solution for x(4x+5y)= equation: 


Simplifying
x(4x + 5y) = 0
(4x * x + 5y * x) = 0

Reorder the terms:
(5xy + 4x2) = 0
(5xy + 4x2) = 0

Solving
5xy + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5y + 4x) = 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 '(5y + 4x)' equal to zero and attempt to solve:

Simplifying
5y + 4x = 0

Reorder the terms:
4x + 5y = 0

Solving
4x + 5y = 0

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

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

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

Divide each side by '4'.
x = -1.25y

Simplifying
x = -1.25y
Solution
x = {0, -1.25y}

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