-3x[x+3(x-7)]=

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Solution for -3x[x+3(x-7)]= equation: 


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

Reorder the terms:
-3x[x + 3(-7 + x)] = 0
-3x[x + (-7 * 3 + x * 3)] = 0
-3x[x + (-21 + 3x)] = 0

Reorder the terms:
-3x[-21 + x + 3x] = 0

Combine like terms: x + 3x = 4x
-3x[-21 + 4x] = 0
[-21 * -3x + 4x * -3x] = 0
[63x + -12x2] = 0

Solving
63x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(21 + -4x) = 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 '(21 + -4x)' equal to zero and attempt to solve:

Simplifying
21 + -4x = 0

Solving
21 + -4x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -4x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = 0 + -21
-4x = 0 + -21

Combine like terms: 0 + -21 = -21
-4x = -21

Divide each side by '-4'.
x = 5.25

Simplifying
x = 5.25
Solution
x = {0, 5.25}

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