(3x-2x)(2x+5)=0

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Solution for (3x-2x)(2x+5)=0 equation: 


Simplifying
(3x + -2x)(2x + 5) = 0

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

Remove parenthesis around (1x)
1x(2x + 5) = 0

Reorder the terms:
1x(5 + 2x) = 0
(5 * 1x + 2x * 1x) = 0
(5x + 2x2) = 0

Solving
5x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0, -2.5}

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