X(3X+5)=20(3X+5)

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Solution for X(3X+5)=20(3X+5) equation: 


Simplifying
X(3X + 5) = 20(3X + 5)

Reorder the terms:
X(5 + 3X) = 20(3X + 5)
(5 * X + 3X * X) = 20(3X + 5)
(5X + 3X2) = 20(3X + 5)

Reorder the terms:
5X + 3X2 = 20(5 + 3X)
5X + 3X2 = (5 * 20 + 3X * 20)
5X + 3X2 = (100 + 60X)

Solving
5X + 3X2 = 100 + 60X

Solving for variable 'X'.

Reorder the terms:
-100 + 5X + -60X + 3X2 = 100 + 60X + -100 + -60X

Combine like terms: 5X + -60X = -55X
-100 + -55X + 3X2 = 100 + 60X + -100 + -60X

Reorder the terms:
-100 + -55X + 3X2 = 100 + -100 + 60X + -60X

Combine like terms: 100 + -100 = 0
-100 + -55X + 3X2 = 0 + 60X + -60X
-100 + -55X + 3X2 = 60X + -60X

Combine like terms: 60X + -60X = 0
-100 + -55X + 3X2 = 0

Factor a trinomial.
(-5 + -3X)(20 + -1X) = 0


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

Simplifying
-5 + -3X = 0

Solving
-5 + -3X = 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 + -3X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3X = 0 + 5
-3X = 0 + 5

Combine like terms: 0 + 5 = 5
-3X = 5

Divide each side by '-3'.
X = -1.666666667

Simplifying
X = -1.666666667

Subproblem 2
Set the factor '(20 + -1X)' equal to zero and attempt to solve:

Simplifying
20 + -1X = 0

Solving
20 + -1X = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1X = 0 + -20
-1X = 0 + -20

Combine like terms: 0 + -20 = -20
-1X = -20

Divide each side by '-1'.
X = 20

Simplifying
X = 20
Solution
X = {-1.666666667, 20}

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