(5x-2x)(2x+1)=0

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Solution for (5x-2x)(2x+1)=0 equation: 


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

Combine like terms: 5x + -2x = 3x
(3x)(2x + 1) = 0

Remove parenthesis around (3x)
3x(2x + 1) = 0

Reorder the terms:
3x(1 + 2x) = 0
(1 * 3x + 2x * 3x) = 0
(3x + 6x2) = 0

Solving
3x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + 2x) = 0

Ignore the factor 3.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}

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