(x+1)(x+9)=9x

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Solution for (x+1)(x+9)=9x equation:


Simplifying
(x + 1)(x + 9) = 9x

Reorder the terms:
(1 + x)(x + 9) = 9x

Reorder the terms:
(1 + x)(9 + x) = 9x

Multiply (1 + x) * (9 + x)
(1(9 + x) + x(9 + x)) = 9x
((9 * 1 + x * 1) + x(9 + x)) = 9x
((9 + 1x) + x(9 + x)) = 9x
(9 + 1x + (9 * x + x * x)) = 9x
(9 + 1x + (9x + x2)) = 9x

Combine like terms: 1x + 9x = 10x
(9 + 10x + x2) = 9x

Solving
9 + 10x + x2 = 9x

Solving for variable 'x'.

Reorder the terms:
9 + 10x + -9x + x2 = 9x + -9x

Combine like terms: 10x + -9x = 1x
9 + 1x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
9 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 1x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + 1x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 1x + x2 = 0 + -9
1x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
1x + x2 = -9

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -9 + 0.25

Reorder the terms:
0.25 + x + x2 = -9 + 0.25

Combine like terms: -9 + 0.25 = -8.75
0.25 + x + x2 = -8.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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