8m^2-2m-7=0

Simple and best practice solution for 8m^2-2m-7=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 8m^2-2m-7=0 equation:


Simplifying
8m2 + -2m + -7 = 0

Reorder the terms:
-7 + -2m + 8m2 = 0

Solving
-7 + -2m + 8m2 = 0

Solving for variable 'm'.

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

Divide each side by '8'.
-0.875 + -0.25m + m2 = 0

Move the constant term to the right:

Add '0.875' to each side of the equation.
-0.875 + -0.25m + 0.875 + m2 = 0 + 0.875

Reorder the terms:
-0.875 + 0.875 + -0.25m + m2 = 0 + 0.875

Combine like terms: -0.875 + 0.875 = 0.000
0.000 + -0.25m + m2 = 0 + 0.875
-0.25m + m2 = 0 + 0.875

Combine like terms: 0 + 0.875 = 0.875
-0.25m + m2 = 0.875

The m term is -0.25m.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25m + 0.015625 + m2 = 0.875 + 0.015625

Reorder the terms:
0.015625 + -0.25m + m2 = 0.875 + 0.015625

Combine like terms: 0.875 + 0.015625 = 0.890625
0.015625 + -0.25m + m2 = 0.890625

Factor a perfect square on the left side:
(m + -0.125)(m + -0.125) = 0.890625

Calculate the square root of the right side: 0.943729304

Break this problem into two subproblems by setting 
(m + -0.125) equal to 0.943729304 and -0.943729304.

Subproblem 1

m + -0.125 = 0.943729304 Simplifying m + -0.125 = 0.943729304 Reorder the terms: -0.125 + m = 0.943729304 Solving -0.125 + m = 0.943729304 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + m = 0.943729304 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + m = 0.943729304 + 0.125 m = 0.943729304 + 0.125 Combine like terms: 0.943729304 + 0.125 = 1.068729304 m = 1.068729304 Simplifying m = 1.068729304

Subproblem 2

m + -0.125 = -0.943729304 Simplifying m + -0.125 = -0.943729304 Reorder the terms: -0.125 + m = -0.943729304 Solving -0.125 + m = -0.943729304 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + m = -0.943729304 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + m = -0.943729304 + 0.125 m = -0.943729304 + 0.125 Combine like terms: -0.943729304 + 0.125 = -0.818729304 m = -0.818729304 Simplifying m = -0.818729304

Solution

The solution to the problem is based on the solutions from the subproblems. m = {1.068729304, -0.818729304}

See similar equations:

| 5-12x=3x | | Y-3=2x-8 | | 16x^2+kx+4= | | -7=8x+5+4x | | 4x-11=-5x+7 | | 2b+17.8-17.8=196.8-17.8 | | X^2+80x+20=0 | | 4-4x=-x^2 | | t^2+8t-3=0 | | =9+(4-3)-17 | | 2x-7=23+13 | | 2r+2-2=100-2 | | 3x-18=-x^2 | | 6x+6z=8z+7y | | 2r+r=6 | | 6x+4=15+5 | | h=-16t+25 | | x^2=2x-4 | | 2h+20-20=268-20 | | 22/7*9,544 | | 7z-3x=-12 | | (4x^2+5x)(25x^2-15x-4)=0 | | 2x*1=-7 | | 7x-13=-12 | | r/1-1/r=0 | | 5x^2-12=x | | 5=6+5x | | 7y+2(y-4)=3(y+1) | | x^2=-1-2x | | 64*pi^2=pi*r^2 | | 3p^2+96=76p | | r-6+4=3 |

Equations solver categories