(x+5)(x+1)=3

Simple and best practice solution for (x+5)(x+1)=3 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+5)(x+1)=3 equation:


Simplifying
(x + 5)(x + 1) = 3

Reorder the terms:
(5 + x)(x + 1) = 3

Reorder the terms:
(5 + x)(1 + x) = 3

Multiply (5 + x) * (1 + x)
(5(1 + x) + x(1 + x)) = 3
((1 * 5 + x * 5) + x(1 + x)) = 3
((5 + 5x) + x(1 + x)) = 3
(5 + 5x + (1 * x + x * x)) = 3
(5 + 5x + (1x + x2)) = 3

Combine like terms: 5x + 1x = 6x
(5 + 6x + x2) = 3

Solving
5 + 6x + x2 = 3

Solving for variable 'x'.

Reorder the terms:
5 + -3 + 6x + x2 = 3 + -3

Combine like terms: 5 + -3 = 2
2 + 6x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
2 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 6x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 6x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6x + x2 = 0 + -2
6x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
6x + x2 = -2

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -2 + 9

Reorder the terms:
9 + 6x + x2 = -2 + 9

Combine like terms: -2 + 9 = 7
9 + 6x + x2 = 7

Factor a perfect square on the left side:
(x + 3)(x + 3) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + 3) equal to 2.645751311 and -2.645751311.

Subproblem 1

x + 3 = 2.645751311 Simplifying x + 3 = 2.645751311 Reorder the terms: 3 + x = 2.645751311 Solving 3 + x = 2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 2.645751311 + -3 Combine like terms: 3 + -3 = 0 0 + x = 2.645751311 + -3 x = 2.645751311 + -3 Combine like terms: 2.645751311 + -3 = -0.354248689 x = -0.354248689 Simplifying x = -0.354248689

Subproblem 2

x + 3 = -2.645751311 Simplifying x + 3 = -2.645751311 Reorder the terms: 3 + x = -2.645751311 Solving 3 + x = -2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -2.645751311 + -3 Combine like terms: 3 + -3 = 0 0 + x = -2.645751311 + -3 x = -2.645751311 + -3 Combine like terms: -2.645751311 + -3 = -5.645751311 x = -5.645751311 Simplifying x = -5.645751311

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.354248689, -5.645751311}

See similar equations:

| Y=-.5x^2+4x-8 | | 2logx-log(10x-250)-1=0 | | 4y-y+6y=15 | | 3(7+x)=54 | | 2x^3y+10x^2y-8xy= | | -3d+0.33(b+3d)=10 | | 9y+3=8 | | 0=-16t^2+784 | | y=sqrt(x-1)*sqrt(x-1) | | (m-1)(3m+7)=3(m+5)+-12 | | -2(-9x+12)=-2x+7 | | (x)(x-1)=840 | | x^2-8x=2x | | 8x+12=6x+10 | | -2(-9+12)=-2x+7 | | (4+w)(4w+9)=0 | | x^4+3x^3-5x^2-15=0 | | -12x+4y+4x-4y=14 | | 2x^2+14x-2=0 | | 2y^2-12y-x^2+6x+7=0 | | 45000+10x=200+20x | | 8x-4=32x+2 | | 8=2(4-3)+6 | | 144=10x+2 | | -5(x-6)-(3x-7)=-9x | | 6x^2-12x-4y^2-16y-34=0 | | solveuif-9u-5+6u=19 | | 45000+20x=90(500+x) | | 7(n+8)=6n | | 35=6x+11 | | 7n+56=6n | | t-s-m=c |

Equations solver categories