x^2+x-39.2=0

Simple and best practice solution for x^2+x-39.2=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-39.2=0 equation: 


Simplifying
x2 + x + -39.2 = 0

Reorder the terms:
-39.2 + x + x2 = 0

Solving
-39.2 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '39.2' to each side of the equation.
-39.2 + x + 39.2 + x2 = 0 + 39.2

Reorder the terms:
-39.2 + 39.2 + x + x2 = 0 + 39.2

Combine like terms: -39.2 + 39.2 = 0.0
0.0 + x + x2 = 0 + 39.2
x + x2 = 0 + 39.2

Combine like terms: 0 + 39.2 = 39.2
x + x2 = 39.2

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 = 39.2 + 0.25

Reorder the terms:
0.25 + x + x2 = 39.2 + 0.25

Combine like terms: 39.2 + 0.25 = 39.45
0.25 + x + x2 = 39.45

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 39.45

Calculate the square root of the right side: 6.280923499

Break this problem into two subproblems by setting 
(x + 0.5) equal to 6.280923499 and -6.280923499.


Subproblem 1
x + 0.5 = 6.280923499

Simplifying
x + 0.5 = 6.280923499

Reorder the terms:
0.5 + x = 6.280923499

Solving
0.5 + x = 6.280923499

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 = 6.280923499 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 6.280923499 + -0.5
x = 6.280923499 + -0.5

Combine like terms: 6.280923499 + -0.5 = 5.780923499
x = 5.780923499

Simplifying
x = 5.780923499


Subproblem 2
x + 0.5 = -6.280923499

Simplifying
x + 0.5 = -6.280923499

Reorder the terms:
0.5 + x = -6.280923499

Solving
0.5 + x = -6.280923499

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 = -6.280923499 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -6.280923499 + -0.5
x = -6.280923499 + -0.5

Combine like terms: -6.280923499 + -0.5 = -6.780923499
x = -6.780923499

Simplifying
x = -6.780923499


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.780923499, -6.780923499}

See similar equations:

| -4-3x=6 | | 7x-4+9x=4 | | 7x^2y^3/28xy | | 7p+26=p-214 | | 2t-12-13t=60 | | 9x-5(3x+12)=-34 | | 18w+7=w-809 | | 2x^2+13x=4x+18 | | 400-2c=244 | | 7(x+3)+8(x+3)=5x-5 | | 5(x-.35)=12.70 | | 6r-5=11 | | c-315=-6c-7 | | 11x-5=39 | | 25+40*10=0 | | 8a-3=3a+17 | | p+61=-4p-9 | | 11x-5=44 | | 3x-26=2x+34 | | f(x)=-3x^2+12x-3 | | 4x+7=8x+12 | | 6x+58+9x-1=87 | | 5-a/8=0.57142857142 | | 5x-3=12-80 | | 28+(-3x+9)=52 | | -4p-8=p-163 | | 40-2c=8 | | -7/3-1/3y=-4/15x | | (3x-13)=(x-8) | | 2x+5=7-5x | | 9x+6=14x-6 | | -2y+8=y+149 |

Equations solver categories