2m^2+3m-8=0

Simple and best practice solution for 2m^2+3m-8=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 2m^2+3m-8=0 equation:


Simplifying
2m2 + 3m + -8 = 0

Reorder the terms:
-8 + 3m + 2m2 = 0

Solving
-8 + 3m + 2m2 = 0

Solving for variable 'm'.

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

Divide each side by '2'.
-4 + 1.5m + m2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 1.5m + 4 + m2 = 0 + 4

Reorder the terms:
-4 + 4 + 1.5m + m2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1.5m + m2 = 0 + 4
1.5m + m2 = 0 + 4

Combine like terms: 0 + 4 = 4
1.5m + m2 = 4

The m term is 1.5m.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5m + 0.5625 + m2 = 4 + 0.5625

Reorder the terms:
0.5625 + 1.5m + m2 = 4 + 0.5625

Combine like terms: 4 + 0.5625 = 4.5625
0.5625 + 1.5m + m2 = 4.5625

Factor a perfect square on the left side:
(m + 0.75)(m + 0.75) = 4.5625

Calculate the square root of the right side: 2.136000936

Break this problem into two subproblems by setting 
(m + 0.75) equal to 2.136000936 and -2.136000936.

Subproblem 1

m + 0.75 = 2.136000936 Simplifying m + 0.75 = 2.136000936 Reorder the terms: 0.75 + m = 2.136000936 Solving 0.75 + m = 2.136000936 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + m = 2.136000936 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + m = 2.136000936 + -0.75 m = 2.136000936 + -0.75 Combine like terms: 2.136000936 + -0.75 = 1.386000936 m = 1.386000936 Simplifying m = 1.386000936

Subproblem 2

m + 0.75 = -2.136000936 Simplifying m + 0.75 = -2.136000936 Reorder the terms: 0.75 + m = -2.136000936 Solving 0.75 + m = -2.136000936 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + m = -2.136000936 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + m = -2.136000936 + -0.75 m = -2.136000936 + -0.75 Combine like terms: -2.136000936 + -0.75 = -2.886000936 m = -2.886000936 Simplifying m = -2.886000936

Solution

The solution to the problem is based on the solutions from the subproblems. m = {1.386000936, -2.886000936}

See similar equations:

| 3p^2+8p-25=0 | | x^2-7x-2=0 | | 2x+55=7x-5 | | x^2-x-4=0 | | 174-5x=6x+20 | | 1-5x=10-8x | | 6x+12=111-5x | | 9x-11=7x+3 | | x^2-3x-5=0 | | 2x+37=11x-44 | | x^2+3x-5=0 | | x^2-7x+5=0 | | 6y=4y^2+2 | | m^2+2m-3=0 | | 4(-2-7x)=216 | | 4(1x+3)=24 | | -2(1x-6)=-2 | | 13(-6.3)= | | 2(8-n)=2 | | 0.3x^2+0.1x+4.2=8 | | 0.3t^2+0.1T+4.2=8 | | 4t+7t+6t=-33 | | 5x+(2x*5)+(3x*15)=180 | | x-3(2x+4)=7x | | 10+2y=12y | | 3x^2+4x-4=0 | | x+2y=30 | | -26y=-130 | | (5x)6=5 | | 2(x+y)+.05=x(.01)+y(100) | | 2(x)+.05=y | | 5x-3x=4x-2 |

Equations solver categories