8x-4x[9-4(x+5)]=

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Solution for 8x-4x[9-4(x+5)]= equation: 


Simplifying
8x + -4x[9 + -4(x + 5)] = 0

Reorder the terms:
8x + -4x[9 + -4(5 + x)] = 0
8x + -4x[9 + (5 * -4 + x * -4)] = 0
8x + -4x[9 + (-20 + -4x)] = 0

Combine like terms: 9 + -20 = -11
8x + -4x[-11 + -4x] = 0
8x + [-11 * -4x + -4x * -4x] = 0
8x + [44x + 16x2] = 0

Combine like terms: 8x + 44x = 52x
52x + 16x2 = 0

Solving
52x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(13 + 4x) = 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 '(13 + 4x)' equal to zero and attempt to solve:

Simplifying
13 + 4x = 0

Solving
13 + 4x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 0 + -13
4x = 0 + -13

Combine like terms: 0 + -13 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25
Solution
x = {0, -3.25}

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