8(x+1+3)(2x-2)=44

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Solution for 8(x+1+3)(2x-2)=44 equation:


Simplifying
8(x + 1 + 3)(2x + -2) = 44

Reorder the terms:
8(1 + 3 + x)(2x + -2) = 44

Combine like terms: 1 + 3 = 4
8(4 + x)(2x + -2) = 44

Reorder the terms:
8(4 + x)(-2 + 2x) = 44

Multiply (4 + x) * (-2 + 2x)
8(4(-2 + 2x) + x(-2 + 2x)) = 44
8((-2 * 4 + 2x * 4) + x(-2 + 2x)) = 44
8((-8 + 8x) + x(-2 + 2x)) = 44
8(-8 + 8x + (-2 * x + 2x * x)) = 44
8(-8 + 8x + (-2x + 2x2)) = 44

Combine like terms: 8x + -2x = 6x
8(-8 + 6x + 2x2) = 44
(-8 * 8 + 6x * 8 + 2x2 * 8) = 44
(-64 + 48x + 16x2) = 44

Solving
-64 + 48x + 16x2 = 44

Solving for variable 'x'.

Reorder the terms:
-64 + -44 + 48x + 16x2 = 44 + -44

Combine like terms: -64 + -44 = -108
-108 + 48x + 16x2 = 44 + -44

Combine like terms: 44 + -44 = 0
-108 + 48x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-27 + 12x + 4x2) = 0

Factor a trinomial.
4((-9 + -2x)(3 + -2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-4.5, 1.5}

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