x*x+4x=100

Simple and best practice solution for x*x+4x=100 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+4x=100 equation:


Simplifying
x * x + 4x = 100

Multiply x * x
x2 + 4x = 100

Reorder the terms:
4x + x2 = 100

Solving
4x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
-100 + 4x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '100' to each side of the equation.
-100 + 4x + 100 + x2 = 0 + 100

Reorder the terms:
-100 + 100 + 4x + x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 4x + x2 = 0 + 100
4x + x2 = 0 + 100

Combine like terms: 0 + 100 = 100
4x + x2 = 100

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 100 + 4

Reorder the terms:
4 + 4x + x2 = 100 + 4

Combine like terms: 100 + 4 = 104
4 + 4x + x2 = 104

Factor a perfect square on the left side:
(x + 2)(x + 2) = 104

Calculate the square root of the right side: 10.198039027

Break this problem into two subproblems by setting 
(x + 2) equal to 10.198039027 and -10.198039027.

Subproblem 1

x + 2 = 10.198039027 Simplifying x + 2 = 10.198039027 Reorder the terms: 2 + x = 10.198039027 Solving 2 + x = 10.198039027 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 10.198039027 + -2 Combine like terms: 2 + -2 = 0 0 + x = 10.198039027 + -2 x = 10.198039027 + -2 Combine like terms: 10.198039027 + -2 = 8.198039027 x = 8.198039027 Simplifying x = 8.198039027

Subproblem 2

x + 2 = -10.198039027 Simplifying x + 2 = -10.198039027 Reorder the terms: 2 + x = -10.198039027 Solving 2 + x = -10.198039027 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -10.198039027 + -2 Combine like terms: 2 + -2 = 0 0 + x = -10.198039027 + -2 x = -10.198039027 + -2 Combine like terms: -10.198039027 + -2 = -12.198039027 x = -12.198039027 Simplifying x = -12.198039027

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.198039027, -12.198039027}

See similar equations:

| 6x-6(6y-5x)-6y= | | 2(4+3a)+a= | | 8x-61=6x-13 | | 3(x+18)=-3(x-18) | | 4+3w=7w+2 | | |-13|-|13|=-13-13 | | 3x+5+7x-15=180 | | .53=x | | 2(2-7n)=5n+4(1+6n) | | 1/23=x | | -9z+8z=5Z+2+4Z | | 3(x+6)=35-2x | | 6y+8(4y+2)= | | 0.7(6X+2)=1.1-(X+6) | | x^2+y^2+2x+4y=0 | | 9x+1=11x-23 | | (2x+1)+x+(x-3)=26 | | 14x-13=8x+5 | | 14x-13=8+5 | | -9z-2z=-2z-4+5z | | 30s=9 | | 2x+6+5x+4=80 | | -3q^2+185=0 | | 5x+4=8x+4-3x | | Log(4)5x^3=0 | | 4x^2-9xy^2=36 | | 10x+4=4x-20 | | -2z+z=6z-3+4z | | (2x-5)(5x-5)=56 | | 3m-11=5m+19 | | 3x-2=2x+5+x | | 6w-5w-1=4 |

Equations solver categories