x^2-9x+23=9(x-6)

Simple and best practice solution for x^2-9x+23=9(x-6) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2-9x+23=9(x-6) equation:


Simplifying
x2 + -9x + 23 = 9(x + -6)

Reorder the terms:
23 + -9x + x2 = 9(x + -6)

Reorder the terms:
23 + -9x + x2 = 9(-6 + x)
23 + -9x + x2 = (-6 * 9 + x * 9)
23 + -9x + x2 = (-54 + 9x)

Solving
23 + -9x + x2 = -54 + 9x

Solving for variable 'x'.

Reorder the terms:
23 + 54 + -9x + -9x + x2 = -54 + 9x + 54 + -9x

Combine like terms: 23 + 54 = 77
77 + -9x + -9x + x2 = -54 + 9x + 54 + -9x

Combine like terms: -9x + -9x = -18x
77 + -18x + x2 = -54 + 9x + 54 + -9x

Reorder the terms:
77 + -18x + x2 = -54 + 54 + 9x + -9x

Combine like terms: -54 + 54 = 0
77 + -18x + x2 = 0 + 9x + -9x
77 + -18x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
77 + -18x + x2 = 0

Factor a trinomial.
(7 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {7, 11}

See similar equations:

| 0.5(3x-1)=2x-1 | | x+47=777899521367 | | 2x+x+3x-18=180 | | 12-32+52= | | x+5-4x=6x-11 | | -6x+5=24 | | 12t^3-48t= | | 5+6X-1=10 | | 5x+1/2=2x+3 | | 3(30-s)=4(s+19) | | 4X^2-64= | | 5x+150=8x+204 | | 225H^2-1= | | n/10+7=9 | | 15x^2-45x= | | 2m^2-8= | | -2/7x=12.4 | | -(6/7)x=-43.5 | | 3x+46=5x+32 | | x=45/(9*4) | | x=45/4-9 | | x=(45+9)/4 | | (4k-1)x-4x^2-k^2=0 | | x=45/9-4 | | x=(45-9)/4 | | 5x^2+24x=5 | | -7.3x=73.0 | | -155,000.00+12,000.00x=3 | | 3c/4-c/4=c/4+2 | | b^2=20 | | (x^2)/2+6x-32=0 | | (x^2)/2-6x-32=0 |

Equations solver categories