91=(2x+2)(x+1)

Simple and best practice solution for 91=(2x+2)(x+1) 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 91=(2x+2)(x+1) equation:


Simplifying
91 = (2x + 2)(x + 1)

Reorder the terms:
91 = (2 + 2x)(x + 1)

Reorder the terms:
91 = (2 + 2x)(1 + x)

Multiply (2 + 2x) * (1 + x)
91 = (2(1 + x) + 2x * (1 + x))
91 = ((1 * 2 + x * 2) + 2x * (1 + x))
91 = ((2 + 2x) + 2x * (1 + x))
91 = (2 + 2x + (1 * 2x + x * 2x))
91 = (2 + 2x + (2x + 2x2))

Combine like terms: 2x + 2x = 4x
91 = (2 + 4x + 2x2)

Solving
91 = 2 + 4x + 2x2

Solving for variable 'x'.

Combine like terms: 91 + -2 = 89
89 + -4x + -2x2 = 2 + 4x + 2x2 + -2 + -4x + -2x2

Reorder the terms:
89 + -4x + -2x2 = 2 + -2 + 4x + -4x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
89 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2
89 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
89 + -4x + -2x2 = 0 + 2x2 + -2x2
89 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
89 + -4x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-44.5 + 2x + x2 = 0

Move the constant term to the right:

Add '44.5' to each side of the equation.
-44.5 + 2x + 44.5 + x2 = 0 + 44.5

Reorder the terms:
-44.5 + 44.5 + 2x + x2 = 0 + 44.5

Combine like terms: -44.5 + 44.5 = 0.0
0.0 + 2x + x2 = 0 + 44.5
2x + x2 = 0 + 44.5

Combine like terms: 0 + 44.5 = 44.5
2x + x2 = 44.5

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 44.5 + 1

Reorder the terms:
1 + 2x + x2 = 44.5 + 1

Combine like terms: 44.5 + 1 = 45.5
1 + 2x + x2 = 45.5

Factor a perfect square on the left side:
(x + 1)(x + 1) = 45.5

Calculate the square root of the right side: 6.745368782

Break this problem into two subproblems by setting 
(x + 1) equal to 6.745368782 and -6.745368782.

Subproblem 1

x + 1 = 6.745368782 Simplifying x + 1 = 6.745368782 Reorder the terms: 1 + x = 6.745368782 Solving 1 + x = 6.745368782 Solving for variable 'x'. 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 = 6.745368782 + -1 Combine like terms: 1 + -1 = 0 0 + x = 6.745368782 + -1 x = 6.745368782 + -1 Combine like terms: 6.745368782 + -1 = 5.745368782 x = 5.745368782 Simplifying x = 5.745368782

Subproblem 2

x + 1 = -6.745368782 Simplifying x + 1 = -6.745368782 Reorder the terms: 1 + x = -6.745368782 Solving 1 + x = -6.745368782 Solving for variable 'x'. 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 = -6.745368782 + -1 Combine like terms: 1 + -1 = 0 0 + x = -6.745368782 + -1 x = -6.745368782 + -1 Combine like terms: -6.745368782 + -1 = -7.745368782 x = -7.745368782 Simplifying x = -7.745368782

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.745368782, -7.745368782}

See similar equations:

| 5/x=0.39 | | (14+2x)(30+2x)-420+x^4=960 | | (14+2x)(30+2x)-420+4x=960 | | Log(x-2)=log(24) | | 2kx-6h/4hk=12k | | 17f*11ef= | | x^5/x^6 | | -16x^2+63t+4=50 | | 3w-15=-14(w-5) | | x^3/4-x | | t^2-10=39 | | 27((1/3)x-(1/9))=10 | | 10y^2-78y+169=0 | | Log(x)+log(2)=log(24)-log(3) | | 2=-2/3x-(-4) | | -36=-15+(-3m) | | 2x-7x-14=-5x+9-14 | | -(2x-7)=1 | | k+5=5 | | 3(x+8)=2(x-5) | | 4.52-5h=2.9 | | 4x-10=3x+x-2x | | 2a+(-1)=5 | | 91=(2x+3)(x+1) | | y[n]=2x[n]-x[n-1] | | 6.6x-2.4=17.4 | | 4=-1x-(-2) | | X^2-8=120 | | X^2-8=27 | | 4(5z-1)-2(z+1)=13(z+1) | | a^5+a^3-a^2-1=0 | | 55=7x+9 |

Equations solver categories