5X^2+6X(4-6X)=

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Solution for 5X^2+6X(4-6X)= equation: 


Simplifying
5X2 + 6X(4 + -6X) = 0
5X2 + (4 * 6X + -6X * 6X) = 0
5X2 + (24X + -36X2) = 0

Reorder the terms:
24X + 5X2 + -36X2 = 0

Combine like terms: 5X2 + -36X2 = -31X2
24X + -31X2 = 0

Solving
24X + -31X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(24 + -31X) = 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 '(24 + -31X)' equal to zero and attempt to solve:

Simplifying
24 + -31X = 0

Solving
24 + -31X = 0

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

Add '-24' to each side of the equation.
24 + -24 + -31X = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -31X = 0 + -24
-31X = 0 + -24

Combine like terms: 0 + -24 = -24
-31X = -24

Divide each side by '-31'.
X = 0.7741935484

Simplifying
X = 0.7741935484
Solution
X = {0, 0.7741935484}

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