(x+10)(x+10)=2x+19

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Solution for (x+10)(x+10)=2x+19 equation: 


Simplifying
(x + 10)(x + 10) = 2x + 19

Reorder the terms:
(10 + x)(x + 10) = 2x + 19

Reorder the terms:
(10 + x)(10 + x) = 2x + 19

Multiply (10 + x) * (10 + x)
(10(10 + x) + x(10 + x)) = 2x + 19
((10 * 10 + x * 10) + x(10 + x)) = 2x + 19
((100 + 10x) + x(10 + x)) = 2x + 19
(100 + 10x + (10 * x + x * x)) = 2x + 19
(100 + 10x + (10x + x2)) = 2x + 19

Combine like terms: 10x + 10x = 20x
(100 + 20x + x2) = 2x + 19

Reorder the terms:
100 + 20x + x2 = 19 + 2x

Solving
100 + 20x + x2 = 19 + 2x

Solving for variable 'x'.

Reorder the terms:
100 + -19 + 20x + -2x + x2 = 19 + 2x + -19 + -2x

Combine like terms: 100 + -19 = 81
81 + 20x + -2x + x2 = 19 + 2x + -19 + -2x

Combine like terms: 20x + -2x = 18x
81 + 18x + x2 = 19 + 2x + -19 + -2x

Reorder the terms:
81 + 18x + x2 = 19 + -19 + 2x + -2x

Combine like terms: 19 + -19 = 0
81 + 18x + x2 = 0 + 2x + -2x
81 + 18x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
81 + 18x + x2 = 0

Factor a trinomial.
(9 + x)(9 + x) = 0


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

Simplifying
9 + x = 0

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

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

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

Simplifying
x = -9

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

Simplifying
9 + x = 0

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

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

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

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

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