x(4+x)=12(12+3)

Simple and best practice solution for x(4+x)=12(12+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(4+x)=12(12+3) equation:


Simplifying
x(4 + x) = 12(12 + 3)
(4 * x + x * x) = 12(12 + 3)
(4x + x2) = 12(12 + 3)

Combine like terms: 12 + 3 = 15
4x + x2 = 12(15)

Multiply 12 * 15
4x + x2 = 180

Solving
4x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 4x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '180' to each side of the equation.
-180 + 4x + 180 + x2 = 0 + 180

Reorder the terms:
-180 + 180 + 4x + x2 = 0 + 180

Combine like terms: -180 + 180 = 0
0 + 4x + x2 = 0 + 180
4x + x2 = 0 + 180

Combine like terms: 0 + 180 = 180
4x + x2 = 180

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 = 180 + 4

Reorder the terms:
4 + 4x + x2 = 180 + 4

Combine like terms: 180 + 4 = 184
4 + 4x + x2 = 184

Factor a perfect square on the left side:
(x + 2)(x + 2) = 184

Calculate the square root of the right side: 13.564659966

Break this problem into two subproblems by setting 
(x + 2) equal to 13.564659966 and -13.564659966.

Subproblem 1

x + 2 = 13.564659966 Simplifying x + 2 = 13.564659966 Reorder the terms: 2 + x = 13.564659966 Solving 2 + x = 13.564659966 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 = 13.564659966 + -2 Combine like terms: 2 + -2 = 0 0 + x = 13.564659966 + -2 x = 13.564659966 + -2 Combine like terms: 13.564659966 + -2 = 11.564659966 x = 11.564659966 Simplifying x = 11.564659966

Subproblem 2

x + 2 = -13.564659966 Simplifying x + 2 = -13.564659966 Reorder the terms: 2 + x = -13.564659966 Solving 2 + x = -13.564659966 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 = -13.564659966 + -2 Combine like terms: 2 + -2 = 0 0 + x = -13.564659966 + -2 x = -13.564659966 + -2 Combine like terms: -13.564659966 + -2 = -15.564659966 x = -15.564659966 Simplifying x = -15.564659966

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.564659966, -15.564659966}

See similar equations:

| -3+5-4x+2x= | | 10-9x=86-23x | | 4x+1y=11.25 | | 4(4+x)=12(12+3) | | 2x+3y=8.75 | | 14x^5-4x^4/2x^2 | | 4x^2=216 | | p/21=5/30 | | 7x-(4x)-4+1= | | 3+5-4x+2x= | | 1x-44=77(x-9) | | 99x(6x+10)+5=4x(2x+6)-3 | | 6x+7=5x+144 | | 3x+(-2x)+1(-1)= | | 19j(5j-7)=15 | | (1.96)(1.96)= | | 2x+18=5x-3 | | 4(x-7)=3(6+9) | | 6y+12=24y | | 6x-(+7x)+3-5= | | 15+32x-12x= | | y^2+4y-5/6y^2+42y+60 | | y2+4y-5/6y2+42y+60 | | 7x-(4x)-4+7= | | a^2-5a-28=0 | | -9-4+x^2=0 | | a^2+a+72=0 | | 4x+9=x^2 | | 7x+9=x^2+3x | | 14w^6/7w^2 | | 3/x+4/(x+3)=1 | | 2y+3x=170 |

Equations solver categories