6x-5x[9-4(x+7)]=

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Solution for 6x-5x[9-4(x+7)]= equation: 


Simplifying
6x + -5x[9 + -4(x + 7)] = 0

Reorder the terms:
6x + -5x[9 + -4(7 + x)] = 0
6x + -5x[9 + (7 * -4 + x * -4)] = 0
6x + -5x[9 + (-28 + -4x)] = 0

Combine like terms: 9 + -28 = -19
6x + -5x[-19 + -4x] = 0
6x + [-19 * -5x + -4x * -5x] = 0
6x + [95x + 20x2] = 0

Combine like terms: 6x + 95x = 101x
101x + 20x2 = 0

Solving
101x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(101 + 20x) = 0


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 '(101 + 20x)' equal to zero and attempt to solve:

Simplifying
101 + 20x = 0

Solving
101 + 20x = 0

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

Add '-101' to each side of the equation.
101 + -101 + 20x = 0 + -101

Combine like terms: 101 + -101 = 0
0 + 20x = 0 + -101
20x = 0 + -101

Combine like terms: 0 + -101 = -101
20x = -101

Divide each side by '20'.
x = -5.05

Simplifying
x = -5.05
Solution
x = {0, -5.05}

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