3x(2x-5(4x-3))=

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Solution for 3x(2x-5(4x-3))= equation: 


Simplifying
3x(2x + -5(4x + -3)) = 0

Reorder the terms:
3x(2x + -5(-3 + 4x)) = 0
3x(2x + (-3 * -5 + 4x * -5)) = 0
3x(2x + (15 + -20x)) = 0

Reorder the terms:
3x(15 + 2x + -20x) = 0

Combine like terms: 2x + -20x = -18x
3x(15 + -18x) = 0
(15 * 3x + -18x * 3x) = 0
(45x + -54x2) = 0

Solving
45x + -54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(5 + -6x) = 0

Ignore the factor 9.

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 '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {0, 0.8333333333}

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