x(x+5)=48

Simple and best practice solution for x(x+5)=48 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(x+5)=48 equation: 


Simplifying
x(x + 5) = 48

Reorder the terms:
x(5 + x) = 48
(5 * x + x * x) = 48
(5x + x2) = 48

Solving
5x + x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 5x + x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '48' to each side of the equation.
-48 + 5x + 48 + x2 = 0 + 48

Reorder the terms:
-48 + 48 + 5x + x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 5x + x2 = 0 + 48
5x + x2 = 0 + 48

Combine like terms: 0 + 48 = 48
5x + x2 = 48

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 48 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 48 + 6.25

Combine like terms: 48 + 6.25 = 54.25
6.25 + 5x + x2 = 54.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 54.25

Calculate the square root of the right side: 7.365459931

Break this problem into two subproblems by setting 
(x + 2.5) equal to 7.365459931 and -7.365459931.


Subproblem 1
x + 2.5 = 7.365459931

Simplifying
x + 2.5 = 7.365459931

Reorder the terms:
2.5 + x = 7.365459931

Solving
2.5 + x = 7.365459931

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 7.365459931 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 7.365459931 + -2.5
x = 7.365459931 + -2.5

Combine like terms: 7.365459931 + -2.5 = 4.865459931
x = 4.865459931

Simplifying
x = 4.865459931


Subproblem 2
x + 2.5 = -7.365459931

Simplifying
x + 2.5 = -7.365459931

Reorder the terms:
2.5 + x = -7.365459931

Solving
2.5 + x = -7.365459931

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -7.365459931 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -7.365459931 + -2.5
x = -7.365459931 + -2.5

Combine like terms: -7.365459931 + -2.5 = -9.865459931
x = -9.865459931

Simplifying
x = -9.865459931


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.865459931, -9.865459931}

See similar equations:

| 5x+2=-3(4-x) | | 0=5x-13 | | y^2=-6x+18 | | 500y+4756869x=8675849 | | 89y+62=94 | | y=100X+7687 | | 1+2a=13 | | y-3=5(0-2) | | 9(8-x)(x+4)=0 | | n+5=-5n+5 | | 0-3=5(x-2) | | y=(2x+3)2 | | 19=5x+20 | | 13-5x=22 | | 4y^2+33y-27=0 | | 9x-(x-4)=-4+2(4x-1)+8 | | 10x×5xy×-5/2xy | | x+2y+12-x=-y-6 | | z-12+9=15 | | (-2)*(-1.5)= | | -11+4x=25 | | 15/14-7x=9 | | 7y=84y+396 | | (25x+1)(25x-2)(20x-1)=270 | | X^2-20x+115=0 | | (-2)x(-1.5)= | | 3+(4-r)=7 | | 3+(4+r)=7 | | -4x(1-3)-(2x+2)x=5 | | 3(2x-7)+3x=7x-4(2x+1)+6 | | 7/x-7=1 | | -10=3x+5(-x+2) |

Equations solver categories