(x+1)(x+8)=3x

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


Simplifying
(x + 1)(x + 8) = 3x

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

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

Multiply (1 + x) * (8 + x)
(1(8 + x) + x(8 + x)) = 3x
((8 * 1 + x * 1) + x(8 + x)) = 3x
((8 + 1x) + x(8 + x)) = 3x
(8 + 1x + (8 * x + x * x)) = 3x
(8 + 1x + (8x + x2)) = 3x

Combine like terms: 1x + 8x = 9x
(8 + 9x + x2) = 3x

Solving
8 + 9x + x2 = 3x

Solving for variable 'x'.

Reorder the terms:
8 + 9x + -3x + x2 = 3x + -3x

Combine like terms: 9x + -3x = 6x
8 + 6x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 6x + x2 = 0

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


Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-4, -2}

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