x^2-2x-11=4x+5

Simple and best practice solution for x^2-2x-11=4x+5 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^2-2x-11=4x+5 equation: 


Simplifying
x2 + -2x + -11 = 4x + 5

Reorder the terms:
-11 + -2x + x2 = 4x + 5

Reorder the terms:
-11 + -2x + x2 = 5 + 4x

Solving
-11 + -2x + x2 = 5 + 4x

Solving for variable 'x'.

Reorder the terms:
-11 + -5 + -2x + -4x + x2 = 5 + 4x + -5 + -4x

Combine like terms: -11 + -5 = -16
-16 + -2x + -4x + x2 = 5 + 4x + -5 + -4x

Combine like terms: -2x + -4x = -6x
-16 + -6x + x2 = 5 + 4x + -5 + -4x

Reorder the terms:
-16 + -6x + x2 = 5 + -5 + 4x + -4x

Combine like terms: 5 + -5 = 0
-16 + -6x + x2 = 0 + 4x + -4x
-16 + -6x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + -6x + x2 = 0

Factor a trinomial.
(-2 + -1x)(8 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-2, 8}

See similar equations:

| 3(20)+25=x | | 2(20)+25=x | | 8x-(6x+7)=7 | | 10n^4-4n^3=0 | | 2(20)+35=x | | 2x+35+3x+25=160 | | 7k-1-7=6k-4 | | 3x-10=5x-16 | | 12m+3=12 | | 8w+2+2=0 | | 5+3c=6c-8 | | 9m-3m=21 | | -1(8x+1)-2=5(2x+3) | | 5x+40=5x+2x | | -84+10x=-214 | | 6x-4=8x-10 | | -2x+7=-x+7 | | 5+3c=14 | | 6z+2=8 | | -6-7x=65 | | -84+10x=214 | | 4(4x-5)=2(-2x+5) | | 2+3(x-3)=10-5(x-5) | | 0.65x+.05(12-x)=.10(102) | | -2-2x=2x-2 | | 19x-17x=27x | | 7+3=8 | | -11=k+-(5) | | 10x+5+x-13=2(4x-4)+2x | | 7n-29=-15 | | x^2+3x-16=0 | | 2(x-6)=3(x+4) |

Equations solver categories