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

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


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

Reorder the terms:
-2x(-5 + 3x) = 3x
(-5 * -2x + 3x * -2x) = 3x
(10x + -6x2) = 3x

Solving
10x + -6x2 = 3x

Solving for variable 'x'.

Reorder the terms:
10x + -3x + -6x2 = 3x + -3x

Combine like terms: 10x + -3x = 7x
7x + -6x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
7x + -6x2 = 0

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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