x^2+6x+7=3x+5

Simple and best practice solution for x^2+6x+7=3x+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+6x+7=3x+5 equation: 


Simplifying
x2 + 6x + 7 = 3x + 5

Reorder the terms:
7 + 6x + x2 = 3x + 5

Reorder the terms:
7 + 6x + x2 = 5 + 3x

Solving
7 + 6x + x2 = 5 + 3x

Solving for variable 'x'.

Reorder the terms:
7 + -5 + 6x + -3x + x2 = 5 + 3x + -5 + -3x

Combine like terms: 7 + -5 = 2
2 + 6x + -3x + x2 = 5 + 3x + -5 + -3x

Combine like terms: 6x + -3x = 3x
2 + 3x + x2 = 5 + 3x + -5 + -3x

Reorder the terms:
2 + 3x + x2 = 5 + -5 + 3x + -3x

Combine like terms: 5 + -5 = 0
2 + 3x + x2 = 0 + 3x + -3x
2 + 3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 3x + x2 = 0

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


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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-2, -1}

See similar equations:

| 2(10-4(-3x-5))=24x+60 | | -27x^3y^9/3 | | 16y^9/7x^2+21x^4/8y^3 | | 2n^2-52n+1000=0 | | 12-3x=22 | | 7.80/60 | | (-5+2x^5+8x^7-4x^6)+(-3x^6+2x^5+8+6x^7)= | | t^(1/2) | | t^1/2 | | -23-5v=-5v+25 | | y=1/8(31)+31 | | y=1/8(0.125)+31 | | 3(x+4)-2=22 | | 3/8x+40=y | | F(X)=5x^2-20+3 | | x-0.2+0.07(x-0.2x)=73.53 | | 11=1-3x | | 12=1+3x+2 | | 5x+6=13-2x | | -0.5(2)+2y=-7 | | 5(2-4)= | | 2(2p-7)=9 | | -0.5(-0.5)+2y=-7 | | 9/2x=3/4 | | -490x+4000=0 | | 15/12x=5/6 | | 11s-9a=6 | | 10x(x-3)=5(3x-8) | | 24.0833333333= | | -3.9(4.3)+4.3y=9.6 | | 3x+14-6x=25-x+7 | | 9t-8t=11 |

Equations solver categories