3x*2(4-5x)=

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


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

Reorder the terms for easier multiplication:
3 * 2x(4 + -5x) = 0

Multiply 3 * 2
6x(4 + -5x) = 0
(4 * 6x + -5x * 6x) = 0
(24x + -30x2) = 0

Solving
24x + -30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(4 + -5x) = 0

Ignore the factor 6.

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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0, 0.8}

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