5X(X+6)=2X+12

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Solution for 5X(X+6)=2X+12 equation: 


Simplifying
5X(X + 6) = 2X + 12

Reorder the terms:
5X(6 + X) = 2X + 12
(6 * 5X + X * 5X) = 2X + 12
(30X + 5X2) = 2X + 12

Reorder the terms:
30X + 5X2 = 12 + 2X

Solving
30X + 5X2 = 12 + 2X

Solving for variable 'X'.

Reorder the terms:
-12 + 30X + -2X + 5X2 = 12 + 2X + -12 + -2X

Combine like terms: 30X + -2X = 28X
-12 + 28X + 5X2 = 12 + 2X + -12 + -2X

Reorder the terms:
-12 + 28X + 5X2 = 12 + -12 + 2X + -2X

Combine like terms: 12 + -12 = 0
-12 + 28X + 5X2 = 0 + 2X + -2X
-12 + 28X + 5X2 = 2X + -2X

Combine like terms: 2X + -2X = 0
-12 + 28X + 5X2 = 0

Factor a trinomial.
(-6 + -1X)(2 + -5X) = 0


Subproblem 1
Set the factor '(-6 + -1X)' equal to zero and attempt to solve:

Simplifying
-6 + -1X = 0

Solving
-6 + -1X = 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 + -1X = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1X = 0 + 6
-1X = 0 + 6

Combine like terms: 0 + 6 = 6
-1X = 6

Divide each side by '-1'.
X = -6

Simplifying
X = -6

Subproblem 2
Set the factor '(2 + -5X)' equal to zero and attempt to solve:

Simplifying
2 + -5X = 0

Solving
2 + -5X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5X = 0 + -2
-5X = 0 + -2

Combine like terms: 0 + -2 = -2
-5X = -2

Divide each side by '-5'.
X = 0.4

Simplifying
X = 0.4
Solution
X = {-6, 0.4}

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