X(3X+4)=32

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Solution for X(3X+4)=32 equation: 


Simplifying
X(3X + 4) = 32

Reorder the terms:
X(4 + 3X) = 32
(4 * X + 3X * X) = 32
(4X + 3X2) = 32

Solving
4X + 3X2 = 32

Solving for variable 'X'.

Reorder the terms:
-32 + 4X + 3X2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + 4X + 3X2 = 0

Factor a trinomial.
(-4 + -1X)(8 + -3X) = 0


Subproblem 1
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

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
Solution
X = {-4, 2.666666667}

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