2x(3x-6)+5x=0

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Solution for 2x(3x-6)+5x=0 equation: 


Simplifying
2x(3x + -6) + 5x = 0

Reorder the terms:
2x(-6 + 3x) + 5x = 0
(-6 * 2x + 3x * 2x) + 5x = 0
(-12x + 6x2) + 5x = 0

Reorder the terms:
-12x + 5x + 6x2 = 0

Combine like terms: -12x + 5x = -7x
-7x + 6x2 = 0

Solving
-7x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 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 '(-7 + 6x)' equal to zero and attempt to solve:

Simplifying
-7 + 6x = 0

Solving
-7 + 6x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 0 + 7
6x = 0 + 7

Combine like terms: 0 + 7 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {0, 1.166666667}

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