x^2+5x-56=0

Simple and best practice solution for x^2+5x-56=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+5x-56=0 equation: 


Simplifying
x2 + 5x + -56 = 0

Reorder the terms:
-56 + 5x + x2 = 0

Solving
-56 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '56' to each side of the equation.
-56 + 5x + 56 + x2 = 0 + 56

Reorder the terms:
-56 + 56 + 5x + x2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 5x + x2 = 0 + 56
5x + x2 = 0 + 56

Combine like terms: 0 + 56 = 56
5x + x2 = 56

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 = 56 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 56 + 6.25

Combine like terms: 56 + 6.25 = 62.25
6.25 + 5x + x2 = 62.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 62.25

Calculate the square root of the right side: 7.889866919

Break this problem into two subproblems by setting 
(x + 2.5) equal to 7.889866919 and -7.889866919.


Subproblem 1
x + 2.5 = 7.889866919

Simplifying
x + 2.5 = 7.889866919

Reorder the terms:
2.5 + x = 7.889866919

Solving
2.5 + x = 7.889866919

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 = 7.889866919 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 7.889866919 + -2.5
x = 7.889866919 + -2.5

Combine like terms: 7.889866919 + -2.5 = 5.389866919
x = 5.389866919

Simplifying
x = 5.389866919


Subproblem 2
x + 2.5 = -7.889866919

Simplifying
x + 2.5 = -7.889866919

Reorder the terms:
2.5 + x = -7.889866919

Solving
2.5 + x = -7.889866919

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 = -7.889866919 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -7.889866919 + -2.5
x = -7.889866919 + -2.5

Combine like terms: -7.889866919 + -2.5 = -10.389866919
x = -10.389866919

Simplifying
x = -10.389866919


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.389866919, -10.389866919}

See similar equations:

| 3a^3=6a | | y=-16t+20t | | -2+7(x-1)=13-4x | | (3x-20)+(8x-30)=180 | | Y=sin(6x^2+4x+3) | | 12n+6=150 | | 3p^2-18=0 | | 7x+X+20=90 | | 7x+X+20=99 | | 5.5(1-5x)=16.5 | | H+15=25 | | -3+38*1= | | N-9=23 | | K-9=21 | | -5x-5x=30 | | (X+17)(x+11)=391 | | a+3=23 | | 10x-4=24 | | 5x+90=160-2x | | -24+3=m-7 | | 2-x^2+3x=0 | | 3s=42 | | -8(1-2k)=6+2k | | 1-5n=-6n+8 | | -1+5=m-10 | | 4(x+1)2=8(x+1) | | J-2=7 | | 2x^3+10x-48x= | | h(t)=104t-16t^2 | | 3.01=e-9.2 | | N+38*1=20 | | 9=30b |

Equations solver categories