x^2+1=10x-8

Simple and best practice solution for x^2+1=10x-8 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+1=10x-8 equation: 


Simplifying
x2 + 1 = 10x + -8

Reorder the terms:
1 + x2 = 10x + -8

Reorder the terms:
1 + x2 = -8 + 10x

Solving
1 + x2 = -8 + 10x

Solving for variable 'x'.

Reorder the terms:
1 + 8 + -10x + x2 = -8 + 10x + 8 + -10x

Combine like terms: 1 + 8 = 9
9 + -10x + x2 = -8 + 10x + 8 + -10x

Reorder the terms:
9 + -10x + x2 = -8 + 8 + 10x + -10x

Combine like terms: -8 + 8 = 0
9 + -10x + x2 = 0 + 10x + -10x
9 + -10x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -10x + x2 = 0

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


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {1, 9}

See similar equations:

| 2x^3+9x^2-11=30 | | -t-4(-10-t)=6 | | 7x+5=24 | | -5(6n+2)=7n+7 | | 8t-5+j=67 | | 8t-5t=67 | | -4(-2t+1)-10=-4+10t | | 5x+56=-2x | | 9=3t-(-7t+1) | | 2+9p=3(p-3) | | -10=-4(2+4a)-7a | | -8b-11+7b=b-1 | | 0.3x+15.8=x-8.84 | | 3w+4-8w=-11 | | 5k-(2k+7)=-2k-4 | | 4-4x=18+10x | | m=12+-2m | | 8-2|n+5|4= | | 4+2x=5(4+2x) | | 8x-3y=6.2 | | 3p-18=21 | | 3x+=12 | | -15x=30+18y | | 7(2k-3)-1=-92 | | -7(2k-3)-1=-92 | | 4x+159=2x+147 | | -7(n-5)=91 | | 1x-1=-4x+39 | | -5+2x+8+6=x+2-1 | | -14+5x=7x-6 | | 3(6x-2)-4=-118 | | 11-a+3a=7 |

Equations solver categories