-x(x+3x-5+21)=0

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Solution for -x(x+3x-5+21)=0 equation: 


Simplifying
-1x(x + 3x + -5 + 21) = 0

Reorder the terms:
-1x(-5 + 21 + x + 3x) = 0

Combine like terms: -5 + 21 = 16
-1x(16 + x + 3x) = 0

Combine like terms: x + 3x = 4x
-1x(16 + 4x) = 0
(16 * -1x + 4x * -1x) = 0
(-16x + -4x2) = 0

Solving
-16x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(4 + x) = 0

Ignore the factor -4.

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Solution
x = {0, -4}

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