4x[2(x-3)+5]=

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

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

Reorder the terms:
4x[2(-3 + x) + 5] = 0
4x[(-3 * 2 + x * 2) + 5] = 0
4x[(-6 + 2x) + 5] = 0

Reorder the terms:
4x[-6 + 5 + 2x] = 0

Combine like terms: -6 + 5 = -1
4x[-1 + 2x] = 0
[-1 * 4x + 2x * 4x] = 0
[-4x + 8x2] = 0

Solving
-4x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1 + 2x) = 0

Ignore the factor 4.
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 '(-1 + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, 0.5}