-x^2+25x-115=0

Simple and best practice solution for -x^2+25x-115=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+25x-115=0 equation:


Simplifying
-1x2 + 25x + -115 = 0

Reorder the terms:
-115 + 25x + -1x2 = 0

Solving
-115 + 25x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
115 + -25x + x2 = 0

Move the constant term to the right:

Add '-115' to each side of the equation.
115 + -25x + -115 + x2 = 0 + -115

Reorder the terms:
115 + -115 + -25x + x2 = 0 + -115

Combine like terms: 115 + -115 = 0
0 + -25x + x2 = 0 + -115
-25x + x2 = 0 + -115

Combine like terms: 0 + -115 = -115
-25x + x2 = -115

The x term is -25x.  Take half its coefficient (-12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
-25x + 156.25 + x2 = -115 + 156.25

Reorder the terms:
156.25 + -25x + x2 = -115 + 156.25

Combine like terms: -115 + 156.25 = 41.25
156.25 + -25x + x2 = 41.25

Factor a perfect square on the left side:
(x + -12.5)(x + -12.5) = 41.25

Calculate the square root of the right side: 6.422616289

Break this problem into two subproblems by setting 
(x + -12.5) equal to 6.422616289 and -6.422616289.

Subproblem 1

x + -12.5 = 6.422616289 Simplifying x + -12.5 = 6.422616289 Reorder the terms: -12.5 + x = 6.422616289 Solving -12.5 + x = 6.422616289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x = 6.422616289 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x = 6.422616289 + 12.5 x = 6.422616289 + 12.5 Combine like terms: 6.422616289 + 12.5 = 18.922616289 x = 18.922616289 Simplifying x = 18.922616289

Subproblem 2

x + -12.5 = -6.422616289 Simplifying x + -12.5 = -6.422616289 Reorder the terms: -12.5 + x = -6.422616289 Solving -12.5 + x = -6.422616289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x = -6.422616289 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x = -6.422616289 + 12.5 x = -6.422616289 + 12.5 Combine like terms: -6.422616289 + 12.5 = 6.077383711 x = 6.077383711 Simplifying x = 6.077383711

Solution

The solution to the problem is based on the solutions from the subproblems. x = {18.922616289, 6.077383711}

See similar equations:

| 4(3x+4s)= | | 7x+3z=6+3y | | 4x^3-8x=3 | | -x^2+25x+10=125 | | X+(X*.065)+(x*.20)=24 | | 4x^3-8x-3=0 | | 5x^2+7x-8=5x^2+8x+36 | | 5-6x+7+3x+4x-2=4+2*5 | | -100x^2+2500x+1000=12500 | | 6v+9=-7 | | k^2-14k+28=k^2-12k+36 | | log[4](3x+2)=log[4](2x+5) | | n^2-7n+16=n^2+8n+16 | | -2p+4+3p=7 | | (-2/5)t=-8 | | -2/5t=-8 | | z+3=-15 | | |19/4|= | | 212/1.06 | | -r^2-8r+65= | | y=1/6x2 | | =-3x^2-2x+2 | | (5x+27)(3x+17)=0 | | x^2+25+10=125 | | x^4+51x^2-4900=0 | | 81-3x=x^2+18x+81 | | 1/x:1/5=1/x:1/125 | | 3x/2-2x/5=7 | | 21/x-6-81/x-1 | | =-16x^2+215x-95 | | 4x^2=11x | | -[6z-(17z+9)]=9+(10z+2) |

Equations solver categories