2(X^2-4X)-5X=

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Solution for 2(X^2-4X)-5X= equation: 


Simplifying
2(X2 + -4X) + -5X = 0

Reorder the terms:
2(-4X + X2) + -5X = 0
(-4X * 2 + X2 * 2) + -5X = 0
(-8X + 2X2) + -5X = 0

Reorder the terms:
-8X + -5X + 2X2 = 0

Combine like terms: -8X + -5X = -13X
-13X + 2X2 = 0

Solving
-13X + 2X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-13 + 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 '(-13 + 2X)' equal to zero and attempt to solve:

Simplifying
-13 + 2X = 0

Solving
-13 + 2X = 0

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

Add '13' to each side of the equation.
-13 + 13 + 2X = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 2X = 0 + 13
2X = 0 + 13

Combine like terms: 0 + 13 = 13
2X = 13

Divide each side by '2'.
X = 6.5

Simplifying
X = 6.5
Solution
X = {0, 6.5}

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