(x+6)(x+8)=129

Simple and best practice solution for (x+6)(x+8)=129 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+6)(x+8)=129 equation:


Simplifying
(x + 6)(x + 8) = 129

Reorder the terms:
(6 + x)(x + 8) = 129

Reorder the terms:
(6 + x)(8 + x) = 129

Multiply (6 + x) * (8 + x)
(6(8 + x) + x(8 + x)) = 129
((8 * 6 + x * 6) + x(8 + x)) = 129
((48 + 6x) + x(8 + x)) = 129
(48 + 6x + (8 * x + x * x)) = 129
(48 + 6x + (8x + x2)) = 129

Combine like terms: 6x + 8x = 14x
(48 + 14x + x2) = 129

Solving
48 + 14x + x2 = 129

Solving for variable 'x'.

Reorder the terms:
48 + -129 + 14x + x2 = 129 + -129

Combine like terms: 48 + -129 = -81
-81 + 14x + x2 = 129 + -129

Combine like terms: 129 + -129 = 0
-81 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '81' to each side of the equation.
-81 + 14x + 81 + x2 = 0 + 81

Reorder the terms:
-81 + 81 + 14x + x2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 14x + x2 = 0 + 81
14x + x2 = 0 + 81

Combine like terms: 0 + 81 = 81
14x + x2 = 81

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = 81 + 49

Reorder the terms:
49 + 14x + x2 = 81 + 49

Combine like terms: 81 + 49 = 130
49 + 14x + x2 = 130

Factor a perfect square on the left side:
(x + 7)(x + 7) = 130

Calculate the square root of the right side: 11.401754251

Break this problem into two subproblems by setting 
(x + 7) equal to 11.401754251 and -11.401754251.

Subproblem 1

x + 7 = 11.401754251 Simplifying x + 7 = 11.401754251 Reorder the terms: 7 + x = 11.401754251 Solving 7 + x = 11.401754251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 11.401754251 + -7 Combine like terms: 7 + -7 = 0 0 + x = 11.401754251 + -7 x = 11.401754251 + -7 Combine like terms: 11.401754251 + -7 = 4.401754251 x = 4.401754251 Simplifying x = 4.401754251

Subproblem 2

x + 7 = -11.401754251 Simplifying x + 7 = -11.401754251 Reorder the terms: 7 + x = -11.401754251 Solving 7 + x = -11.401754251 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = -11.401754251 + -7 Combine like terms: 7 + -7 = 0 0 + x = -11.401754251 + -7 x = -11.401754251 + -7 Combine like terms: -11.401754251 + -7 = -18.401754251 x = -18.401754251 Simplifying x = -18.401754251

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.401754251, -18.401754251}

See similar equations:

| 4x+3y=150 | | g(r)=8r+1 | | 7x^2-6x-8= | | -18-3x=-4x+8 | | -2g=84 | | 2x-4y(-2)=4 | | (x+2)2+2x=31 | | 10x^2-490=0 | | 4x-71=-2x+31 | | 2x^3-5x^2-53x-70=0 | | 8.00(4.00+d)=72 | | -1634=86x | | 12x-5=-5 | | -83+4x=-7x+49 | | -5(-9-2x)=55 | | -4x+10=0 | | 21-8c=9(5c+3) | | 54n-81= | | 16x^2+19x+3=0 | | 8x+3y*3=24 | | Y^2=625+144 | | -20h^3+100h^2y-125hy^2=0 | | 2m-2=6m-3 | | 287=20g | | 287=55t | | 36v^2-84vg+49g^2=0 | | 7x^2+18x-2= | | 3.00(20.00+d)=90.00 | | -70-x=74+11x | | 2x-5=4x+-7 | | 147=7(6-5x) | | 2x+5=4+(-5) |

Equations solver categories