2x[36-4x(4+2)]=

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Solution for 2x[36-4x(4+2)]= equation: 


Simplifying
2x[36 + -4x(4 + 2)] = 0

Combine like terms: 4 + 2 = 6
2x[36 + -4x(6)] = 0

Reorder the terms for easier multiplication:
2x[36 + -4 * 6x] = 0

Multiply -4 * 6
2x[36 + -24x] = 0
[36 * 2x + -24x * 2x] = 0
[72x + -48x2] = 0

Solving
72x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x'.
24x(3 + -2x) = 0

Ignore the factor 24.

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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, 1.5}

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