x^2+25.48x-655.46=0

Simple and best practice solution for x^2+25.48x-655.46=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+25.48x-655.46=0 equation: 


Simplifying
x2 + 25.48x + -655.46 = 0

Reorder the terms:
-655.46 + 25.48x + x2 = 0

Solving
-655.46 + 25.48x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '655.46' to each side of the equation.
-655.46 + 25.48x + 655.46 + x2 = 0 + 655.46

Reorder the terms:
-655.46 + 655.46 + 25.48x + x2 = 0 + 655.46

Combine like terms: -655.46 + 655.46 = 0.00
0.00 + 25.48x + x2 = 0 + 655.46
25.48x + x2 = 0 + 655.46

Combine like terms: 0 + 655.46 = 655.46
25.48x + x2 = 655.46

The x term is 25.48x.  Take half its coefficient (12.74).
Square it (162.3076) and add it to both sides.

Add '162.3076' to each side of the equation.
25.48x + 162.3076 + x2 = 655.46 + 162.3076

Reorder the terms:
162.3076 + 25.48x + x2 = 655.46 + 162.3076

Combine like terms: 655.46 + 162.3076 = 817.7676
162.3076 + 25.48x + x2 = 817.7676

Factor a perfect square on the left side:
(x + 12.74)(x + 12.74) = 817.7676

Calculate the square root of the right side: 28.596636166

Break this problem into two subproblems by setting 
(x + 12.74) equal to 28.596636166 and -28.596636166.


Subproblem 1
x + 12.74 = 28.596636166

Simplifying
x + 12.74 = 28.596636166

Reorder the terms:
12.74 + x = 28.596636166

Solving
12.74 + x = 28.596636166

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12.74' to each side of the equation.
12.74 + -12.74 + x = 28.596636166 + -12.74

Combine like terms: 12.74 + -12.74 = 0.00
0.00 + x = 28.596636166 + -12.74
x = 28.596636166 + -12.74

Combine like terms: 28.596636166 + -12.74 = 15.856636166
x = 15.856636166

Simplifying
x = 15.856636166


Subproblem 2
x + 12.74 = -28.596636166

Simplifying
x + 12.74 = -28.596636166

Reorder the terms:
12.74 + x = -28.596636166

Solving
12.74 + x = -28.596636166

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12.74' to each side of the equation.
12.74 + -12.74 + x = -28.596636166 + -12.74

Combine like terms: 12.74 + -12.74 = 0.00
0.00 + x = -28.596636166 + -12.74
x = -28.596636166 + -12.74

Combine like terms: -28.596636166 + -12.74 = -41.336636166
x = -41.336636166

Simplifying
x = -41.336636166


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.856636166, -41.336636166}

See similar equations:

| z-8z=9z-4-2 | | y=-5/9(3)+3 | | 3x-3(-x-18)=0 | | (5/6)^-3 | | x^2+29.4x-750=0 | | y=-5/9(-0.5556)+3 | | 4x-3x+2=5 | | 5/6x+2 | | y=-5/9(0.5556)+3 | | 2x-1=10x+15 | | -94+(-27)= | | 2(-5)-5y=-10 | | x/489100-X | | 4x-5=7x-7 | | 2(-5)-5=10 | | 14x=7x+12 | | 3x+2x-1=4 | | 4x-5=7-7 | | -10x-y=20 | | y-(2-3y)=-6 | | 11x-6=7x+2 | | x-4/7= | | x+5x/4=63 | | x+(x-5)+(x-6)+x/2=38 | | 1/3x2+1=33 | | 80=38+x-10 | | 3x+8=-(x-17) | | 50+20=x | | 7a-8b+a+9c+4c+11b= | | 50x=1000-x | | 3x+8=(x-17) | | x+(x-5)+(x-6)=38 |

Equations solver categories