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

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


Simplifying
x2 + 5x + 2 = 3x + 5

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

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

Solving
2 + 5x + x2 = 5 + 3x

Solving for variable 'x'.

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

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

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

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

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

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

Factor a trinomial.
(-3 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 1}

See similar equations:

| 2/8+2/8= | | (3x+5)3=7x+10 | | -2x=25 | | 8m-14=36 | | 9(4*33.5-3)-12*33.5=4(27+5*33.5) | | 6y+17=3 | | y=x^2+5x+2 | | 4x^2+1=11 | | 9t^2+45t=0 | | (2-7i)/-i | | 7+6x=5x+3.5 | | 8-1/2x=1 | | 4y+8=9 | | Qd=36-3P | | 32+15+12=x | | 5p+3=4p-1 | | b+6-3b=-3 | | 2(x+4)-6=10 | | 5-3z-18=-1+8z | | X^2+64=6 | | y=9+-6x | | 0.13x+0.4(x-1)=0.01(3x-3) | | 4/7m=2/7(2m+1) | | (7x^3+3x^5-5x^2-5x+13)-(4x^5-5x^4+2x^3+4x^2-7x+8)=0 | | 15y-9=24 | | 4st+18t-10s-45=0 | | 24-(x+7)=9x-3 | | 2x-1=15-x | | -V-1+2=-2(v+2)-(-3v-3) | | (x/5)+(x/10)-(x/6)=1 | | 1/3(4*3)+16 | | 1/3(4x3)+16 |

Equations solver categories