(8+2x)(10+2x)=99

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Solution for (8+2x)(10+2x)=99 equation: 


Simplifying
(8 + 2x)(10 + 2x) = 99

Multiply (8 + 2x) * (10 + 2x)
(8(10 + 2x) + 2x * (10 + 2x)) = 99
((10 * 8 + 2x * 8) + 2x * (10 + 2x)) = 99
((80 + 16x) + 2x * (10 + 2x)) = 99
(80 + 16x + (10 * 2x + 2x * 2x)) = 99
(80 + 16x + (20x + 4x2)) = 99

Combine like terms: 16x + 20x = 36x
(80 + 36x + 4x2) = 99

Solving
80 + 36x + 4x2 = 99

Solving for variable 'x'.

Reorder the terms:
80 + -99 + 36x + 4x2 = 99 + -99

Combine like terms: 80 + -99 = -19
-19 + 36x + 4x2 = 99 + -99

Combine like terms: 99 + -99 = 0
-19 + 36x + 4x2 = 0

Factor a trinomial.
(-19 + -2x)(1 + -2x) = 0


Subproblem 1
Set the factor '(-19 + -2x)' equal to zero and attempt to solve:

Simplifying
-19 + -2x = 0

Solving
-19 + -2x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -2x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -2x = 0 + 19
-2x = 0 + 19

Combine like terms: 0 + 19 = 19
-2x = 19

Divide each side by '-2'.
x = -9.5

Simplifying
x = -9.5

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-9.5, 0.5}

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