(18+2x)(28+2x)=1064

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Solution for (18+2x)(28+2x)=1064 equation: 


Simplifying
(18 + 2x)(28 + 2x) = 1064

Multiply (18 + 2x) * (28 + 2x)
(18(28 + 2x) + 2x * (28 + 2x)) = 1064
((28 * 18 + 2x * 18) + 2x * (28 + 2x)) = 1064
((504 + 36x) + 2x * (28 + 2x)) = 1064
(504 + 36x + (28 * 2x + 2x * 2x)) = 1064
(504 + 36x + (56x + 4x2)) = 1064

Combine like terms: 36x + 56x = 92x
(504 + 92x + 4x2) = 1064

Solving
504 + 92x + 4x2 = 1064

Solving for variable 'x'.

Reorder the terms:
504 + -1064 + 92x + 4x2 = 1064 + -1064

Combine like terms: 504 + -1064 = -560
-560 + 92x + 4x2 = 1064 + -1064

Combine like terms: 1064 + -1064 = 0
-560 + 92x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-140 + 23x + x2) = 0

Factor a trinomial.
4((-28 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve:

Simplifying
-28 + -1x = 0

Solving
-28 + -1x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 0 + 28
-1x = 0 + 28

Combine like terms: 0 + 28 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

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 = {-28, 5}

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