4x[x-3(x-3)]=

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


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

Reorder the terms:
4x[x + -3(-3 + x)] = 0
4x[x + (-3 * -3 + x * -3)] = 0
4x[x + (9 + -3x)] = 0

Reorder the terms:
4x[9 + x + -3x] = 0

Combine like terms: x + -3x = -2x
4x[9 + -2x] = 0
[9 * 4x + -2x * 4x] = 0
[36x + -8x2] = 0

Solving
36x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(9 + -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 '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, 4.5}

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