(x+6)(x+4)=160

Simple and best practice solution for (x+6)(x+4)=160 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+4)=160 equation:


Simplifying
(x + 6)(x + 4) = 160

Reorder the terms:
(6 + x)(x + 4) = 160

Reorder the terms:
(6 + x)(4 + x) = 160

Multiply (6 + x) * (4 + x)
(6(4 + x) + x(4 + x)) = 160
((4 * 6 + x * 6) + x(4 + x)) = 160
((24 + 6x) + x(4 + x)) = 160
(24 + 6x + (4 * x + x * x)) = 160
(24 + 6x + (4x + x2)) = 160

Combine like terms: 6x + 4x = 10x
(24 + 10x + x2) = 160

Solving
24 + 10x + x2 = 160

Solving for variable 'x'.

Reorder the terms:
24 + -160 + 10x + x2 = 160 + -160

Combine like terms: 24 + -160 = -136
-136 + 10x + x2 = 160 + -160

Combine like terms: 160 + -160 = 0
-136 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '136' to each side of the equation.
-136 + 10x + 136 + x2 = 0 + 136

Reorder the terms:
-136 + 136 + 10x + x2 = 0 + 136

Combine like terms: -136 + 136 = 0
0 + 10x + x2 = 0 + 136
10x + x2 = 0 + 136

Combine like terms: 0 + 136 = 136
10x + x2 = 136

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 136 + 25

Reorder the terms:
25 + 10x + x2 = 136 + 25

Combine like terms: 136 + 25 = 161
25 + 10x + x2 = 161

Factor a perfect square on the left side:
(x + 5)(x + 5) = 161

Calculate the square root of the right side: 12.68857754

Break this problem into two subproblems by setting 
(x + 5) equal to 12.68857754 and -12.68857754.

Subproblem 1

x + 5 = 12.68857754 Simplifying x + 5 = 12.68857754 Reorder the terms: 5 + x = 12.68857754 Solving 5 + x = 12.68857754 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 12.68857754 + -5 Combine like terms: 5 + -5 = 0 0 + x = 12.68857754 + -5 x = 12.68857754 + -5 Combine like terms: 12.68857754 + -5 = 7.68857754 x = 7.68857754 Simplifying x = 7.68857754

Subproblem 2

x + 5 = -12.68857754 Simplifying x + 5 = -12.68857754 Reorder the terms: 5 + x = -12.68857754 Solving 5 + x = -12.68857754 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = -12.68857754 + -5 Combine like terms: 5 + -5 = 0 0 + x = -12.68857754 + -5 x = -12.68857754 + -5 Combine like terms: -12.68857754 + -5 = -17.68857754 x = -17.68857754 Simplifying x = -17.68857754

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.68857754, -17.68857754}

See similar equations:

| 10m-2n-8= | | (x^2+4x-10)=0 | | x+2025=2916 | | -6x+4=x-52 | | 2(3x-5)=5x-7 | | 5x+6=-6x+94 | | -5(4x+7)= | | -2x-10=-22-6x | | 15x-(6x-9)=90 | | -6+3x=-x+22 | | -3x+2-x=38 | | 12w+4+w+12w+4+w=134 | | 20=-3(2x+1)+7x | | 13x-(4x-7)=43 | | 130=5x+6x-2 | | 8v^2+3v+16=0 | | 2x-9-x=-14 | | 10=6x-2x+10 | | 2(8+7x)+15= | | 10w+8=-10 | | -28(x-2)= | | -28(x+2)= | | 2+2x+3x=17 | | (78x+70y)-(19x+27y)= | | 5x+18=3x-12 | | 70-(5x+5)=5(x+2)+x | | 2x^2-12+4x=x-4+2 | | 22x-7-18x+3=16x-5-12x+11 | | 37=13r-12 | | (a^2-8a-9)=0 | | -7c+1=20 | | 6-2xZ+8=10 |

Equations solver categories