x(7-3x)(6+x)=0

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Solution for x(7-3x)(6+x)=0 equation: 


Simplifying
x(7 + -3x)(6 + x) = 0

Multiply (7 + -3x) * (6 + x)
x(7(6 + x) + -3x * (6 + x)) = 0
x((6 * 7 + x * 7) + -3x * (6 + x)) = 0
x((42 + 7x) + -3x * (6 + x)) = 0
x(42 + 7x + (6 * -3x + x * -3x)) = 0
x(42 + 7x + (-18x + -3x2)) = 0

Combine like terms: 7x + -18x = -11x
x(42 + -11x + -3x2) = 0
(42 * x + -11x * x + -3x2 * x) = 0
(42x + -11x2 + -3x3) = 0

Solving
42x + -11x2 + -3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(42 + -11x + -3x2) = 0

Factor a trinomial.
x((7 + -3x)(6 + x)) = 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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

Subproblem 3
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {0, 2.333333333, -6}

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