x^2+5x+3=x+8

Simple and best practice solution for x^2+5x+3=x+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+5x+3=x+8 equation: 


Simplifying
x2 + 5x + 3 = x + 8

Reorder the terms:
3 + 5x + x2 = x + 8

Reorder the terms:
3 + 5x + x2 = 8 + x

Solving
3 + 5x + x2 = 8 + x

Solving for variable 'x'.

Reorder the terms:
3 + -8 + 5x + -1x + x2 = 8 + x + -8 + -1x

Combine like terms: 3 + -8 = -5
-5 + 5x + -1x + x2 = 8 + x + -8 + -1x

Combine like terms: 5x + -1x = 4x
-5 + 4x + x2 = 8 + x + -8 + -1x

Reorder the terms:
-5 + 4x + x2 = 8 + -8 + x + -1x

Combine like terms: 8 + -8 = 0
-5 + 4x + x2 = 0 + x + -1x
-5 + 4x + x2 = x + -1x

Combine like terms: x + -1x = 0
-5 + 4x + x2 = 0

Factor a trinomial.
(-5 + -1x)(1 + -1x) = 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 '(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
Solution
x = {-5, 1}

See similar equations:

| p+2=2x^2+2a+2 | | -1=2x^2+2x+2 | | x=.25.14 | | -6t-7t-5t-1=13-3 | | x^2-9y^2+234y=1557 | | -3(3y-3)-2y=8 | | lg(x)=0.31 | | g(x)=2x^2+2x+2 | | 5x+14y=24 | | log(x)=0.31 | | 4p-2q=15 | | (-3+7i)+(6+5i)= | | F(x)=9t^2-20t+25 | | (2x+6)(x-6)=0 | | 8x+3=2x+22 | | 42+9x=x^2+3x+2 | | 9x-7x=13 | | Cosx=3x+5 | | log(x^2+6x+9)=2 | | 5x-7=25+x | | x^2-362x-32320=0 | | (x-6)+(x)=180 | | 34Y=10+5X | | 3(2y-4)=9+6(y+1) | | 7x-6=-2x+48 | | (x-1)(x+1)(3x-6)=0 | | lg(x+5)=0 | | Y-7=-2(y-1) | | 9x+9=-2x+42 | | 1.3333333333333333*x=1 | | 7.2=-logx | | (4-2a)-(3a+1)=6-6a |

Equations solver categories