8x^2-100x-15=0

Simple and best practice solution for 8x^2-100x-15=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 8x^2-100x-15=0 equation:


Simplifying
8x2 + -100x + -15 = 0

Reorder the terms:
-15 + -100x + 8x2 = 0

Solving
-15 + -100x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
-1.875 + -12.5x + x2 = 0

Move the constant term to the right:

Add '1.875' to each side of the equation.
-1.875 + -12.5x + 1.875 + x2 = 0 + 1.875

Reorder the terms:
-1.875 + 1.875 + -12.5x + x2 = 0 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + -12.5x + x2 = 0 + 1.875
-12.5x + x2 = 0 + 1.875

Combine like terms: 0 + 1.875 = 1.875
-12.5x + x2 = 1.875

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = 1.875 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = 1.875 + 39.0625

Combine like terms: 1.875 + 39.0625 = 40.9375
39.0625 + -12.5x + x2 = 40.9375

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = 40.9375

Calculate the square root of the right side: 6.398241946

Break this problem into two subproblems by setting 
(x + -6.25) equal to 6.398241946 and -6.398241946.

Subproblem 1

x + -6.25 = 6.398241946 Simplifying x + -6.25 = 6.398241946 Reorder the terms: -6.25 + x = 6.398241946 Solving -6.25 + x = 6.398241946 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + x = 6.398241946 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + x = 6.398241946 + 6.25 x = 6.398241946 + 6.25 Combine like terms: 6.398241946 + 6.25 = 12.648241946 x = 12.648241946 Simplifying x = 12.648241946

Subproblem 2

x + -6.25 = -6.398241946 Simplifying x + -6.25 = -6.398241946 Reorder the terms: -6.25 + x = -6.398241946 Solving -6.25 + x = -6.398241946 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + x = -6.398241946 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + x = -6.398241946 + 6.25 x = -6.398241946 + 6.25 Combine like terms: -6.398241946 + 6.25 = -0.148241946 x = -0.148241946 Simplifying x = -0.148241946

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.648241946, -0.148241946}

See similar equations:

| sqrt(x+27)-sqrt(x-13)=3 | | -5y+3x=2 | | rad(x+27)-rad(x-13)=3 | | 6x=37-y | | sqrt(-4x+28)=x-4 | | ((2xy^2)-3)dx+((2x^2)y+4)dy=0 | | 3r+4=7r | | 2x+4-5x=9+2x | | -9x-6=3-10x | | p(7-2n)= | | Ax^2=d | | -5x+3=-3x-7 | | 15x^4+50x^3+30x^2=0 | | 60=40-5x | | x-74=121-12x | | (9x+4y)(-2)= | | 6+10x=6x-2 | | 15h-6=84 | | 2(x+7)-4x=18 | | 2x^5-24x^4+72x^3=0 | | -11-3x=-4x+19 | | 4+2.50p=21.50 | | 0.875-0.25n= | | -32=7(v-8)-3v | | 2x^5-24y^4+72y^3=0 | | 5+2x=4x-5 | | 5x-x+3=3x+25x | | -36x-10+37x=12-(-4) | | 48n^3=149n | | 3w+5(w+3)=-17 | | 12x-93=54+5x | | -6n-n= |

Equations solver categories