x^2+x+39=180

Simple and best practice solution for x^2+x+39=180 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^2+x+39=180 equation:


Simplifying
x2 + x + 39 = 180

Reorder the terms:
39 + x + x2 = 180

Solving
39 + x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
39 + -180 + x + x2 = 180 + -180

Combine like terms: 39 + -180 = -141
-141 + x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-141 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '141' to each side of the equation.
-141 + x + 141 + x2 = 0 + 141

Reorder the terms:
-141 + 141 + x + x2 = 0 + 141

Combine like terms: -141 + 141 = 0
0 + x + x2 = 0 + 141
x + x2 = 0 + 141

Combine like terms: 0 + 141 = 141
x + x2 = 141

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 141 + 0.25

Reorder the terms:
0.25 + x + x2 = 141 + 0.25

Combine like terms: 141 + 0.25 = 141.25
0.25 + x + x2 = 141.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 141.25

Calculate the square root of the right side: 11.884864324

Break this problem into two subproblems by setting 
(x + 0.5) equal to 11.884864324 and -11.884864324.

Subproblem 1

x + 0.5 = 11.884864324 Simplifying x + 0.5 = 11.884864324 Reorder the terms: 0.5 + x = 11.884864324 Solving 0.5 + x = 11.884864324 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 11.884864324 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 11.884864324 + -0.5 x = 11.884864324 + -0.5 Combine like terms: 11.884864324 + -0.5 = 11.384864324 x = 11.384864324 Simplifying x = 11.384864324

Subproblem 2

x + 0.5 = -11.884864324 Simplifying x + 0.5 = -11.884864324 Reorder the terms: 0.5 + x = -11.884864324 Solving 0.5 + x = -11.884864324 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -11.884864324 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -11.884864324 + -0.5 x = -11.884864324 + -0.5 Combine like terms: -11.884864324 + -0.5 = -12.384864324 x = -12.384864324 Simplifying x = -12.384864324

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.384864324, -12.384864324}

See similar equations:

| (2x-1)+x=137 | | 4-14=z/-3 | | -5p-7=38 | | .0825*x=300 | | 0.5x^2-5x+12=0 | | 5d-3=7.2 | | 210xV=14 | | 3y+4y=113 | | 750/x=2/3 | | 3y+4y=105 | | 3y+40y=105 | | 3y+47=105 | | 9y+x= | | 7x^3-56x^2+105x=0 | | 6x+3=4x+1 | | c-0.05= | | 1x-4.5+2x=14+34x+8 | | 7=x/10 | | 19xS=171 | | 0.05c= | | -46=5x-1/3(x) | | 0.2x-3=0.5x+3 | | 3x+2y = 0 | | 5x+2(1-x)=2(2+-1) | | .75(50)+.75= | | -1+1=4(x-2) | | 12x+21y=128 | | 176-45=b | | 4.8+2.2w-1.4w+2.4= | | x-(x*1/6)=25 | | (a+b)(a-5)=0 | | 3-3=14x+5x |

Equations solver categories