x(x+2)=95+2(x+x+2)

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Solution for x(x+2)=95+2(x+x+2) equation: 


Simplifying
x(x + 2) = 95 + 2(x + x + 2)

Reorder the terms:
x(2 + x) = 95 + 2(x + x + 2)
(2 * x + x * x) = 95 + 2(x + x + 2)
(2x + x2) = 95 + 2(x + x + 2)

Reorder the terms:
2x + x2 = 95 + 2(2 + x + x)

Combine like terms: x + x = 2x
2x + x2 = 95 + 2(2 + 2x)
2x + x2 = 95 + (2 * 2 + 2x * 2)
2x + x2 = 95 + (4 + 4x)

Combine like terms: 95 + 4 = 99
2x + x2 = 99 + 4x

Solving
2x + x2 = 99 + 4x

Solving for variable 'x'.

Reorder the terms:
-99 + 2x + -4x + x2 = 99 + 4x + -99 + -4x

Combine like terms: 2x + -4x = -2x
-99 + -2x + x2 = 99 + 4x + -99 + -4x

Reorder the terms:
-99 + -2x + x2 = 99 + -99 + 4x + -4x

Combine like terms: 99 + -99 = 0
-99 + -2x + x2 = 0 + 4x + -4x
-99 + -2x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-99 + -2x + x2 = 0

Factor a trinomial.
(-9 + -1x)(11 + -1x) = 0


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

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 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 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-9, 11}

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