x(3x+8)(x-1)=0

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Solution for x(3x+8)(x-1)=0 equation: 


Simplifying
x(3x + 8)(x + -1) = 0

Reorder the terms:
x(8 + 3x)(x + -1) = 0

Reorder the terms:
x(8 + 3x)(-1 + x) = 0

Multiply (8 + 3x) * (-1 + x)
x(8(-1 + x) + 3x * (-1 + x)) = 0
x((-1 * 8 + x * 8) + 3x * (-1 + x)) = 0
x((-8 + 8x) + 3x * (-1 + x)) = 0
x(-8 + 8x + (-1 * 3x + x * 3x)) = 0
x(-8 + 8x + (-3x + 3x2)) = 0

Combine like terms: 8x + -3x = 5x
x(-8 + 5x + 3x2) = 0
(-8 * x + 5x * x + 3x2 * x) = 0
(-8x + 5x2 + 3x3) = 0

Solving
-8x + 5x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 5x + 3x2) = 0

Factor a trinomial.
x((-8 + -3x)(1 + -1x)) = 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 '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0, -2.666666667, 1}

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