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

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


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

Reorder the terms:
2x + -3x(-5 + 2x) = 0
2x + (-5 * -3x + 2x * -3x) = 0
2x + (15x + -6x2) = 0

Combine like terms: 2x + 15x = 17x
17x + -6x2 = 0

Solving
17x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + -6x) = 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 '(17 + -6x)' equal to zero and attempt to solve:

Simplifying
17 + -6x = 0

Solving
17 + -6x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -6x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 0 + -17
-6x = 0 + -17

Combine like terms: 0 + -17 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333
Solution
x = {0, 2.833333333}

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