(2x+2)*(4+3x)=228

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Solution for (2x+2)*(4+3x)=228 equation: 


Simplifying
(2x + 2)(4 + 3x) = 228

Reorder the terms:
(2 + 2x)(4 + 3x) = 228

Multiply (2 + 2x) * (4 + 3x)
(2(4 + 3x) + 2x * (4 + 3x)) = 228
((4 * 2 + 3x * 2) + 2x * (4 + 3x)) = 228
((8 + 6x) + 2x * (4 + 3x)) = 228
(8 + 6x + (4 * 2x + 3x * 2x)) = 228
(8 + 6x + (8x + 6x2)) = 228

Combine like terms: 6x + 8x = 14x
(8 + 14x + 6x2) = 228

Solving
8 + 14x + 6x2 = 228

Solving for variable 'x'.

Reorder the terms:
8 + -228 + 14x + 6x2 = 228 + -228

Combine like terms: 8 + -228 = -220
-220 + 14x + 6x2 = 228 + -228

Combine like terms: 228 + -228 = 0
-220 + 14x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-110 + 7x + 3x2) = 0

Factor a trinomial.
2((-22 + -3x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-22 + -3x)' equal to zero and attempt to solve:

Simplifying
-22 + -3x = 0

Solving
-22 + -3x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -3x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = 0 + 22
-3x = 0 + 22

Combine like terms: 0 + 22 = 22
-3x = 22

Divide each side by '-3'.
x = -7.333333333

Simplifying
x = -7.333333333

Subproblem 2
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 = {-7.333333333, 5}

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