4x(x+20)=240x

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Solution for 4x(x+20)=240x equation: 


Simplifying
4x(x + 20) = 240x

Reorder the terms:
4x(20 + x) = 240x
(20 * 4x + x * 4x) = 240x
(80x + 4x2) = 240x

Solving
80x + 4x2 = 240x

Solving for variable 'x'.

Reorder the terms:
80x + -240x + 4x2 = 240x + -240x

Combine like terms: 80x + -240x = -160x
-160x + 4x2 = 240x + -240x

Combine like terms: 240x + -240x = 0
-160x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-40 + x) = 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 '(-40 + x)' equal to zero and attempt to solve:

Simplifying
-40 + x = 0

Solving
-40 + x = 0

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

Add '40' to each side of the equation.
-40 + 40 + x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + x = 0 + 40
x = 0 + 40

Combine like terms: 0 + 40 = 40
x = 40

Simplifying
x = 40
Solution
x = {0, 40}

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