(x+7)(x+1)=54

Simple and best practice solution for (x+7)(x+1)=54 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+7)(x+1)=54 equation:


Simplifying
(x + 7)(x + 1) = 54

Reorder the terms:
(7 + x)(x + 1) = 54

Reorder the terms:
(7 + x)(1 + x) = 54

Multiply (7 + x) * (1 + x)
(7(1 + x) + x(1 + x)) = 54
((1 * 7 + x * 7) + x(1 + x)) = 54
((7 + 7x) + x(1 + x)) = 54
(7 + 7x + (1 * x + x * x)) = 54
(7 + 7x + (1x + x2)) = 54

Combine like terms: 7x + 1x = 8x
(7 + 8x + x2) = 54

Solving
7 + 8x + x2 = 54

Solving for variable 'x'.

Reorder the terms:
7 + -54 + 8x + x2 = 54 + -54

Combine like terms: 7 + -54 = -47
-47 + 8x + x2 = 54 + -54

Combine like terms: 54 + -54 = 0
-47 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '47' to each side of the equation.
-47 + 8x + 47 + x2 = 0 + 47

Reorder the terms:
-47 + 47 + 8x + x2 = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 8x + x2 = 0 + 47
8x + x2 = 0 + 47

Combine like terms: 0 + 47 = 47
8x + x2 = 47

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = 47 + 16

Reorder the terms:
16 + 8x + x2 = 47 + 16

Combine like terms: 47 + 16 = 63
16 + 8x + x2 = 63

Factor a perfect square on the left side:
(x + 4)(x + 4) = 63

Calculate the square root of the right side: 7.937253933

Break this problem into two subproblems by setting 
(x + 4) equal to 7.937253933 and -7.937253933.

Subproblem 1

x + 4 = 7.937253933 Simplifying x + 4 = 7.937253933 Reorder the terms: 4 + x = 7.937253933 Solving 4 + x = 7.937253933 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 7.937253933 + -4 Combine like terms: 4 + -4 = 0 0 + x = 7.937253933 + -4 x = 7.937253933 + -4 Combine like terms: 7.937253933 + -4 = 3.937253933 x = 3.937253933 Simplifying x = 3.937253933

Subproblem 2

x + 4 = -7.937253933 Simplifying x + 4 = -7.937253933 Reorder the terms: 4 + x = -7.937253933 Solving 4 + x = -7.937253933 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -7.937253933 + -4 Combine like terms: 4 + -4 = 0 0 + x = -7.937253933 + -4 x = -7.937253933 + -4 Combine like terms: -7.937253933 + -4 = -11.937253933 x = -11.937253933 Simplifying x = -11.937253933

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.937253933, -11.937253933}

See similar equations:

| 27+n=35 | | 30=(2l-3)+2w | | -3(2z-8)+10z=6 | | n(2n-5n)+5(n^2-2)=0 | | 6x-4=4x-18 | | 5,637,000/9*225-17,537,000= | | 12w-19=9w-1 | | 6x-48=3x | | 3x^2=18x+3 | | y-27=2y+27 | | 0=x^2-5x-18 | | 4x-28=-3x | | 4x-8=15x+3 | | 3a=2a+18 | | 5+3r=5r+19 | | -3(3-7n)=6(4+3n) | | 5x+3y=590 | | 17=5w+1 | | 6b-31=5b-22 | | 3x-3=x+8 | | 5x+305=2080 | | mn+am-4=2n+8 | | -9y+17=3y-10 | | y+21=2y+2 | | 3t+9=-t-11 | | 2x-8+5x=4+3x+8 | | -4.4w+3.9=8.3 | | 3p^2-8P+3=0 | | 10x=11x-10 | | .4(2x-3)=0.2x | | -9x-18=0 | | X-.7x=3.6 |

Equations solver categories