2x-3x[9-7(x+5)]=0

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Solution for 2x-3x[9-7(x+5)]=0 equation: 


Simplifying
2x + -3x[9 + -7(x + 5)] = 0

Reorder the terms:
2x + -3x[9 + -7(5 + x)] = 0
2x + -3x[9 + (5 * -7 + x * -7)] = 0
2x + -3x[9 + (-35 + -7x)] = 0

Combine like terms: 9 + -35 = -26
2x + -3x[-26 + -7x] = 0
2x + [-26 * -3x + -7x * -3x] = 0
2x + [78x + 21x2] = 0

Combine like terms: 2x + 78x = 80x
80x + 21x2 = 0

Solving
80x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(80 + 21x) = 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 '(80 + 21x)' equal to zero and attempt to solve:

Simplifying
80 + 21x = 0

Solving
80 + 21x = 0

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

Add '-80' to each side of the equation.
80 + -80 + 21x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + 21x = 0 + -80
21x = 0 + -80

Combine like terms: 0 + -80 = -80
21x = -80

Divide each side by '21'.
x = -3.80952381

Simplifying
x = -3.80952381
Solution
x = {0, -3.80952381}

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