-4x(2x-5y-1)=

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Solution for -4x(2x-5y-1)= equation: 


Simplifying
-4x(2x + -5y + -1) = 0

Reorder the terms:
-4x(-1 + 2x + -5y) = 0
(-1 * -4x + 2x * -4x + -5y * -4x) = 0

Reorder the terms:
(4x + 20xy + -8x2) = 0
(4x + 20xy + -8x2) = 0

Solving
4x + 20xy + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + 5y + -2x) = 0

Ignore the factor 4.

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 '(1 + 5y + -2x)' equal to zero and attempt to solve:

Simplifying
1 + 5y + -2x = 0

Reorder the terms:
1 + -2x + 5y = 0

Solving
1 + -2x + 5y = 0

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

Add '-1' to each side of the equation.
1 + -2x + -1 + 5y = 0 + -1

Reorder the terms:
1 + -1 + -2x + 5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x + 5y = 0 + -1
-2x + 5y = 0 + -1

Combine like terms: 0 + -1 = -1
-2x + 5y = -1

Add '-5y' to each side of the equation.
-2x + 5y + -5y = -1 + -5y

Combine like terms: 5y + -5y = 0
-2x + 0 = -1 + -5y
-2x = -1 + -5y

Divide each side by '-2'.
x = 0.5 + 2.5y

Simplifying
x = 0.5 + 2.5y
Solution
x = {0, 0.5 + 2.5y}

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