[3x(x^2+3x-28)]=0

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Solution for [3x(x^2+3x-28)]=0 equation: 


Simplifying
[3x(x2 + 3x + -28)] = 0

Reorder the terms:
[3x(-28 + 3x + x2)] = 0
[(-28 * 3x + 3x * 3x + x2 * 3x)] = 0
[(-84x + 9x2 + 3x3)] = 0
[-84x + 9x2 + 3x3] = 0

Remove brackets around [-84x + 9x2 + 3x3]
-84x + 9x2 + 3x3 = 0

Solving
-84x + 9x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-28 + 3x + x2) = 0

Factor a trinomial.
3x((-7 + -1x)(4 + -1x)) = 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 '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, -7, 4}

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