(3X+4)X(X-5)=

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Solution for (3X+4)X(X-5)= equation: 


Simplifying
(3X + 4) * X(X + -5) = 0

Reorder the terms:
(4 + 3X) * X(X + -5) = 0

Reorder the terms:
(4 + 3X) * X(-5 + X) = 0

Reorder the terms for easier multiplication:
X(4 + 3X)(-5 + X) = 0

Multiply (4 + 3X) * (-5 + X)
X(4(-5 + X) + 3X * (-5 + X)) = 0
X((-5 * 4 + X * 4) + 3X * (-5 + X)) = 0
X((-20 + 4X) + 3X * (-5 + X)) = 0
X(-20 + 4X + (-5 * 3X + X * 3X)) = 0
X(-20 + 4X + (-15X + 3X2)) = 0

Combine like terms: 4X + -15X = -11X
X(-20 + -11X + 3X2) = 0
(-20 * X + -11X * X + 3X2 * X) = 0
(-20X + -11X2 + 3X3) = 0

Solving
-20X + -11X2 + 3X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-20 + -11X + 3X2) = 0

Factor a trinomial.
X((-4 + -3X)(5 + -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 '(-4 + -3X)' equal to zero and attempt to solve:

Simplifying
-4 + -3X = 0

Solving
-4 + -3X = 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 + -3X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3X = 0 + 4
-3X = 0 + 4

Combine like terms: 0 + 4 = 4
-3X = 4

Divide each side by '-3'.
X = -1.333333333

Simplifying
X = -1.333333333

Subproblem 3
Set the factor '(5 + -1X)' equal to zero and attempt to solve:

Simplifying
5 + -1X = 0

Solving
5 + -1X = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1X = 0 + -5
-1X = 0 + -5

Combine like terms: 0 + -5 = -5
-1X = -5

Divide each side by '-1'.
X = 5

Simplifying
X = 5
Solution
X = {0, -1.333333333, 5}

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