2x+2=x^2+6x+7

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


Simplifying
2x + 2 = x2 + 6x + 7

Reorder the terms:
2 + 2x = x2 + 6x + 7

Reorder the terms:
2 + 2x = 7 + 6x + x2

Solving
2 + 2x = 7 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
2 + -7 + 2x + -6x + -1x2 = 7 + 6x + x2 + -7 + -6x + -1x2

Combine like terms: 2 + -7 = -5
-5 + 2x + -6x + -1x2 = 7 + 6x + x2 + -7 + -6x + -1x2

Combine like terms: 2x + -6x = -4x
-5 + -4x + -1x2 = 7 + 6x + x2 + -7 + -6x + -1x2

Reorder the terms:
-5 + -4x + -1x2 = 7 + -7 + 6x + -6x + x2 + -1x2

Combine like terms: 7 + -7 = 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 out the Greatest Common Factor (GCF), '-1'.
-1(5 + 4x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
5 + 4x + x2 = 0

Solving
5 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 4x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 4x + x2 = 0 + -5

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

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

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -5 + 4

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

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

Factor a perfect square on the left side:
(x + 2)(x + 2) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| -30-4(-4-3)=-2 | | X/2=-30 | | 7(2.8)-8=2(2.8)+6 | | 5x+4+x+8+2x=180 | | X/-3=-11 | | (x-3)(x-5)(x-7)= | | X/-2=41 | | 95.4=9(m+2.7) | | X/-2=38 | | -1/2×-2 | | X/-2=27 | | 4x-10+5x+1+90=180 | | 2.6(x-3.7)=-1.3 | | 7(3w+5)=-21 | | X/-11=6 | | 9e+7=29 | | y=-4x(13+-3y)+4 | | -31x=62 | | 1+5x=3+5x | | 2a=6+12 | | y=-4(13+-3y)+4 | | x=12+16 | | 60(10)=x | | 16-(4-5d)=-66 | | 6(10)=x | | 8(6-4y)+3y=-39 | | 450=2400(.075)x | | 2x(4-X)=0 | | 6(10)= | | -6+14-21=x | | 9x-7x+3=11 | | y=-3.25+-0.75y+4 |

Equations solver categories