(x+4)(x+4)=5

Simple and best practice solution for (x+4)(x+4)=5 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+4)(x+4)=5 equation:


Simplifying
(x + 4)(x + 4) = 5

Reorder the terms:
(4 + x)(x + 4) = 5

Reorder the terms:
(4 + x)(4 + x) = 5

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = 5
((4 * 4 + x * 4) + x(4 + x)) = 5
((16 + 4x) + x(4 + x)) = 5
(16 + 4x + (4 * x + x * x)) = 5
(16 + 4x + (4x + x2)) = 5

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = 5

Solving
16 + 8x + x2 = 5

Solving for variable 'x'.

Reorder the terms:
16 + -5 + 8x + x2 = 5 + -5

Combine like terms: 16 + -5 = 11
11 + 8x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
11 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 8x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 8x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 8x + x2 = 0 + -11
8x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
8x + x2 = -11

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 = -11 + 16

Reorder the terms:
16 + 8x + x2 = -11 + 16

Combine like terms: -11 + 16 = 5
16 + 8x + x2 = 5

Factor a perfect square on the left side:
(x + 4)(x + 4) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(x + 4) equal to 2.236067978 and -2.236067978.


Subproblem 1
x + 4 = 2.236067978

Simplifying
x + 4 = 2.236067978

Reorder the terms:
4 + x = 2.236067978

Solving
4 + x = 2.236067978

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 = 2.236067978 + -4

Combine like terms: 4 + -4 = 0
0 + x = 2.236067978 + -4
x = 2.236067978 + -4

Combine like terms: 2.236067978 + -4 = -1.763932022
x = -1.763932022

Simplifying
x = -1.763932022


Subproblem 2
x + 4 = -2.236067978

Simplifying
x + 4 = -2.236067978

Reorder the terms:
4 + x = -2.236067978

Solving
4 + x = -2.236067978

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 = -2.236067978 + -4

Combine like terms: 4 + -4 = 0
0 + x = -2.236067978 + -4
x = -2.236067978 + -4

Combine like terms: -2.236067978 + -4 = -6.236067978
x = -6.236067978

Simplifying
x = -6.236067978


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.763932022, -6.236067978}

See similar equations:

| 1/2x=1/14x+3/7 | | -7p=-63 | | 37d=-15 | | g-z/5=g+4/7 | | 3x-11+2x+11+2y=180 | | 12x=3/14x+4/7 | | -37d=-15 | | 3u^2=3 | | 1/2x=3/14x+3/7 | | 1/2(3x+10)=3/2x+10 | | 3(c+6)=2c-2 | | 3(1/12x+8)=1/4x+18+6 | | 1/3x+3/5=4/15 | | 8x-5+8x=4(6x-3)+3 | | x^2-5x-.25=0 | | (x+7)(4x+7)=0 | | x^2-5x-1/4 | | P(2)=15x^2+(2-1)+3 | | 10x-11+8x=6(4x+3)+4 | | 2(10+6x)=x-8x | | 10x^2=x+24 | | -0.25x+5+0.75x=1 | | P(-1)=15x^2+(-1-1)+3 | | 6y^2=6 | | (2)/(3)(x-1)-(1)/(5)(2x-3)=1 | | -6y^2=-6 | | 75=n/18+47 | | 15x/7-3x/2=18/7 | | 4+11b=15 | | y^2+2y=3 | | 6+x/5=51 | | ((32+8y)/-3)+4y=-4 |

Equations solver categories