5x^2+10x-9=21-9x

Solution for 5x^2+10x-9=21-9x equation:

Simplifying
5x2 + 10x + -9 = 21 + -9x

Reorder the terms:
-9 + 10x + 5x2 = 21 + -9x

Solving
-9 + 10x + 5x2 = 21 + -9x

Solving for variable 'x'.

Reorder the terms:
-9 + -21 + 10x + 9x + 5x2 = 21 + -9x + -21 + 9x

Combine like terms: -9 + -21 = -30
-30 + 10x + 9x + 5x2 = 21 + -9x + -21 + 9x

Combine like terms: 10x + 9x = 19x
-30 + 19x + 5x2 = 21 + -9x + -21 + 9x

Reorder the terms:
-30 + 19x + 5x2 = 21 + -21 + -9x + 9x

Combine like terms: 21 + -21 = 0
-30 + 19x + 5x2 = 0 + -9x + 9x
-30 + 19x + 5x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-30 + 19x + 5x2 = 0

Factor a trinomial.
(-5 + -1x)(6 + -5x) = 0

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 '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-5, 1.2}