3x-6x[9-5(x+8)]=

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Solution for 3x-6x[9-5(x+8)]= equation: 


Simplifying
3x + -6x[9 + -5(x + 8)] = 0

Reorder the terms:
3x + -6x[9 + -5(8 + x)] = 0
3x + -6x[9 + (8 * -5 + x * -5)] = 0
3x + -6x[9 + (-40 + -5x)] = 0

Combine like terms: 9 + -40 = -31
3x + -6x[-31 + -5x] = 0
3x + [-31 * -6x + -5x * -6x] = 0
3x + [186x + 30x2] = 0

Combine like terms: 3x + 186x = 189x
189x + 30x2 = 0

Solving
189x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(63 + 10x) = 0

Ignore the factor 3.

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 '(63 + 10x)' equal to zero and attempt to solve:

Simplifying
63 + 10x = 0

Solving
63 + 10x = 0

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

Add '-63' to each side of the equation.
63 + -63 + 10x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + 10x = 0 + -63
10x = 0 + -63

Combine like terms: 0 + -63 = -63
10x = -63

Divide each side by '10'.
x = -6.3

Simplifying
x = -6.3
Solution
x = {0, -6.3}

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