x^2+x-40=0

Simple and best practice solution for x^2+x-40=0 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-40=0 equation:


Simplifying
x2 + x + -40 = 0

Reorder the terms:
-40 + x + x2 = 0

Solving
-40 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '40' to each side of the equation.
-40 + x + 40 + x2 = 0 + 40

Reorder the terms:
-40 + 40 + x + x2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + x + x2 = 0 + 40
x + x2 = 0 + 40

Combine like terms: 0 + 40 = 40
x + x2 = 40

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 = 40 + 0.25

Reorder the terms:
0.25 + x + x2 = 40 + 0.25

Combine like terms: 40 + 0.25 = 40.25
0.25 + x + x2 = 40.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 40.25

Calculate the square root of the right side: 6.34428877

Break this problem into two subproblems by setting 
(x + 0.5) equal to 6.34428877 and -6.34428877.

Subproblem 1

x + 0.5 = 6.34428877 Simplifying x + 0.5 = 6.34428877 Reorder the terms: 0.5 + x = 6.34428877 Solving 0.5 + x = 6.34428877 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 = 6.34428877 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 6.34428877 + -0.5 x = 6.34428877 + -0.5 Combine like terms: 6.34428877 + -0.5 = 5.84428877 x = 5.84428877 Simplifying x = 5.84428877

Subproblem 2

x + 0.5 = -6.34428877 Simplifying x + 0.5 = -6.34428877 Reorder the terms: 0.5 + x = -6.34428877 Solving 0.5 + x = -6.34428877 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 = -6.34428877 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -6.34428877 + -0.5 x = -6.34428877 + -0.5 Combine like terms: -6.34428877 + -0.5 = -6.84428877 x = -6.84428877 Simplifying x = -6.84428877

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.84428877, -6.84428877}

See similar equations:

| 4(3+2n)+2=1 | | m-2n=3 | | (6w+3)(w)=165 | | 4x+2[4-2(x+2)]=2x-4 | | -9(a-2)=-3a-5(a-1) | | 7209-220x=0 | | y^2-x^2=1 | | -7(1-4y)=13(2y-3) | | 320+80x=2640 | | 5-6(2x-8)=13-7x | | 9x-2(7x+8)=-6 | | 6g+35g=378 | | log(3x+2)=log(2-2x) | | 82.5+-2.5q=d | | t^2=-3t+28 | | 82.5+-2.5q=42 | | 82.5+-2.5q=8.25 | | -2(8v+12)=8(-3v-7) | | 49=2x^2+4x+1 | | u^2+10u+25=o | | 4(x+4)=3(2x+8) | | -26+8n=3(3+6n)-5 | | x^2+bx-12=0 | | 45+1x=602 | | 4-2s+2s=6 | | 6(8-5x)-(-8x-2)=6x | | 4+7z=46 | | 2x-3-2x=1 | | 4n+16=69 | | x^2+y^2+14y+13=0 | | (23-y)+7=27 | | 12x^2+22x-70=0 |

Equations solver categories