10x(5x+5)=20x

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Solution for 10x(5x+5)=20x equation: 


Simplifying
10x(5x + 5) = 20x

Reorder the terms:
10x(5 + 5x) = 20x
(5 * 10x + 5x * 10x) = 20x
(50x + 50x2) = 20x

Solving
50x + 50x2 = 20x

Solving for variable 'x'.

Reorder the terms:
50x + -20x + 50x2 = 20x + -20x

Combine like terms: 50x + -20x = 30x
30x + 50x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
30x + 50x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(3 + 5x) = 0

Ignore the factor 10.

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 '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {0, -0.6}

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