-.5x^2+40x-300=0

Simple and best practice solution for -.5x^2+40x-300=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 -.5x^2+40x-300=0 equation: 


Simplifying
-0.5x2 + 40x + -300 = 0

Reorder the terms:
-300 + 40x + -0.5x2 = 0

Solving
-300 + 40x + -0.5x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.5 the coefficient of the squared term: 

Divide each side by '-0.5'.
600 + -80x + x2 = 0

Move the constant term to the right:

Add '-600' to each side of the equation.
600 + -80x + -600 + x2 = 0 + -600

Reorder the terms:
600 + -600 + -80x + x2 = 0 + -600

Combine like terms: 600 + -600 = 0
0 + -80x + x2 = 0 + -600
-80x + x2 = 0 + -600

Combine like terms: 0 + -600 = -600
-80x + x2 = -600

The x term is -80x.  Take half its coefficient (-40).
Square it (1600) and add it to both sides.

Add '1600' to each side of the equation.
-80x + 1600 + x2 = -600 + 1600

Reorder the terms:
1600 + -80x + x2 = -600 + 1600

Combine like terms: -600 + 1600 = 1000
1600 + -80x + x2 = 1000

Factor a perfect square on the left side:
(x + -40)(x + -40) = 1000

Calculate the square root of the right side: 31.622776602

Break this problem into two subproblems by setting 
(x + -40) equal to 31.622776602 and -31.622776602.


Subproblem 1
x + -40 = 31.622776602

Simplifying
x + -40 = 31.622776602

Reorder the terms:
-40 + x = 31.622776602

Solving
-40 + x = 31.622776602

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + x = 31.622776602 + 40

Combine like terms: -40 + 40 = 0
0 + x = 31.622776602 + 40
x = 31.622776602 + 40

Combine like terms: 31.622776602 + 40 = 71.622776602
x = 71.622776602

Simplifying
x = 71.622776602


Subproblem 2
x + -40 = -31.622776602

Simplifying
x + -40 = -31.622776602

Reorder the terms:
-40 + x = -31.622776602

Solving
-40 + x = -31.622776602

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + x = -31.622776602 + 40

Combine like terms: -40 + 40 = 0
0 + x = -31.622776602 + 40
x = -31.622776602 + 40

Combine like terms: -31.622776602 + 40 = 8.377223398
x = 8.377223398

Simplifying
x = 8.377223398


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {71.622776602, 8.377223398}

See similar equations:

| 8(2.18)=32 | | 3x-5x=2x+5 | | (2.9)=123 | | -2x-8.2=6.8 | | cos^2(3x)=2x^2+3x | | 77.10=2s+20.86 | | 1.4=-t/3.5 | | -8-6m=2 | | 5s+4.81=42.11 | | -3y-2=-4 | | 1-6w=37 | | 35=3x+11 | | 75=8x+3 | | X+4+x=90 | | 9x-53=4x+42 | | 200(3/5) | | -4.53+(-5.43)= | | B=9/8(j-38) | | 2(X+15)=-26 | | 3.8x(-1-9.7x)=2.6+13.3x | | 12-3b+6b-6=48 | | .10x+.25y=8.30 | | 4[r]-2=18 | | 70+36+6n-1=180 | | 8(0.3x-4)=-24.8 | | 7x+4(2x-14)=19 | | 4-8+5-10= | | 4y-x=32 | | (5m+36)=4m+50 | | 12x-61=71+x | | 800-8x+.25x^2=0 | | (0.1)^t/3 |

Equations solver categories