10x+90+98x=9x^2+81x

Solution for 10x+90+98x=9x^2+81x equation:

Simplifying
10x + 90 + 98x = 9x2 + 81x

Reorder the terms:
90 + 10x + 98x = 9x2 + 81x

Combine like terms: 10x + 98x = 108x
90 + 108x = 9x2 + 81x

Reorder the terms:
90 + 108x = 81x + 9x2

Solving
90 + 108x = 81x + 9x2

Solving for variable 'x'.

Combine like terms: 108x + -81x = 27x
90 + 27x + -9x2 = 81x + 9x2 + -81x + -9x2

Reorder the terms:
90 + 27x + -9x2 = 81x + -81x + 9x2 + -9x2

Combine like terms: 81x + -81x = 0
90 + 27x + -9x2 = 0 + 9x2 + -9x2
90 + 27x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
90 + 27x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(10 + 3x + -1x2) = 0

Factor a trinomial.
9((5 + -1x)(2 + x)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
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 = {5, -2}