2x^2+2x=x^2+6x+5

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


Simplifying
2x2 + 2x = x2 + 6x + 5

Reorder the terms:
2x + 2x2 = x2 + 6x + 5

Reorder the terms:
2x + 2x2 = 5 + 6x + x2

Solving
2x + 2x2 = 5 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
-5 + 2x + -6x + 2x2 + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2

Combine like terms: 2x + -6x = -4x
-5 + -4x + 2x2 + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-5 + -4x + 1x2 = 5 + 6x + x2 + -5 + -6x + -1x2

Reorder the terms:
-5 + -4x + 1x2 = 5 + -5 + 6x + -6x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-5 + -4x + 1x2 = 0 + 6x + -6x + x2 + -1x2
-5 + -4x + 1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-5 + -4x + 1x2 = 0 + x2 + -1x2
-5 + -4x + 1x2 = x2 + -1x2

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

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

See similar equations:

| 9=5n+4 | | 2.4(m-3)+3.8=-9 | | 3y=27-15x | | 21+132+3x=180 | | -3x-8=-2x-5 | | 3a^4+6=100 | | y=7x+273 | | 12t=12t | | 4X+7=10+x | | 88.1-2.3f=71 | | 4b+16= | | 8+2(3x+4)=2(x+16) | | 4-2u=3-3n | | 8x=20(x-1) | | 450000-22000-342000= | | 3(6a)fora=3 | | -8(7-36)+3=4b-13 | | x+7=6x-2 | | -3-5y=2 | | (-9+4i)(8+i)= | | 40p+7(1.50)=489.85 | | (y+3)(y-4)=0 | | 4a-8+3a=5a+9-4a | | 3x+37=6(-6x-8)+7 | | -6-5y=2 | | 6z-11=42-3 | | 2x-3+4-5x+7=8-4x+2-3x | | 2x=-101 | | -6x(-2.4)= | | g(6)=-4(6)-1 | | 25.00(d+5.00)=175 | | 8i(7-8i)= |

Equations solver categories