7x+3x(2x+6)=44

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Solution for 7x+3x(2x+6)=44 equation: 


Simplifying
7x + 3x(2x + 6) = 44

Reorder the terms:
7x + 3x(6 + 2x) = 44
7x + (6 * 3x + 2x * 3x) = 44
7x + (18x + 6x2) = 44

Combine like terms: 7x + 18x = 25x
25x + 6x2 = 44

Solving
25x + 6x2 = 44

Solving for variable 'x'.

Reorder the terms:
-44 + 25x + 6x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-44 + 25x + 6x2 = 0

Factor a trinomial.
(-11 + -2x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve:

Simplifying
-11 + -2x = 0

Solving
-11 + -2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2x = 0 + 11
-2x = 0 + 11

Combine like terms: 0 + 11 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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
Solution
x = {-5.5, 1.333333333}

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