5X^2(2X-3)=0

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Solution for 5X^2(2X-3)=0 equation: 


Simplifying
5X2(2X + -3) = 0

Reorder the terms:
5X2(-3 + 2X) = 0
(-3 * 5X2 + 2X * 5X2) = 0
(-15X2 + 10X3) = 0

Solving
-15X2 + 10X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5X2'.
5X2(-3 + 2X) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(-3 + 2X)' equal to zero and attempt to solve:

Simplifying
-3 + 2X = 0

Solving
-3 + 2X = 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 + 2X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2X = 0 + 3
2X = 0 + 3

Combine like terms: 0 + 3 = 3
2X = 3

Divide each side by '2'.
X = 1.5

Simplifying
X = 1.5
Solution
X = {0, 1.5}

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