2x-8x[9-4(x+3)]=

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Solution for 2x-8x[9-4(x+3)]= equation: 


Simplifying
2x + -8x[9 + -4(x + 3)] = 0

Reorder the terms:
2x + -8x[9 + -4(3 + x)] = 0
2x + -8x[9 + (3 * -4 + x * -4)] = 0
2x + -8x[9 + (-12 + -4x)] = 0

Combine like terms: 9 + -12 = -3
2x + -8x[-3 + -4x] = 0
2x + [-3 * -8x + -4x * -8x] = 0
2x + [24x + 32x2] = 0

Combine like terms: 2x + 24x = 26x
26x + 32x2 = 0

Solving
26x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(13 + 16x) = 0

Ignore the factor 2.

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 + 16x)' equal to zero and attempt to solve:

Simplifying
13 + 16x = 0

Solving
13 + 16x = 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 + 16x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 16x = 0 + -13
16x = 0 + -13

Combine like terms: 0 + -13 = -13
16x = -13

Divide each side by '16'.
x = -0.8125

Simplifying
x = -0.8125
Solution
x = {0, -0.8125}

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