12m^2+17m-6=0

Simple and best practice solution for 12m^2+17m-6=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 12m^2+17m-6=0 equation:


Simplifying
12m2 + 17m + -6 = 0

Reorder the terms:
-6 + 17m + 12m2 = 0

Solving
-6 + 17m + 12m2 = 0

Solving for variable 'm'.

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

Divide each side by '12'.
-0.5 + 1.416666667m + m2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 1.416666667m + 0.5 + m2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 1.416666667m + m2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1.416666667m + m2 = 0 + 0.5
1.416666667m + m2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
1.416666667m + m2 = 0.5

The m term is 1.416666667m.  Take half its coefficient (0.7083333335).
Square it (0.5017361113) and add it to both sides.

Add '0.5017361113' to each side of the equation.
1.416666667m + 0.5017361113 + m2 = 0.5 + 0.5017361113

Reorder the terms:
0.5017361113 + 1.416666667m + m2 = 0.5 + 0.5017361113

Combine like terms: 0.5 + 0.5017361113 = 1.0017361113
0.5017361113 + 1.416666667m + m2 = 1.0017361113

Factor a perfect square on the left side:
(m + 0.7083333335)(m + 0.7083333335) = 1.0017361113

Calculate the square root of the right side: 1.000867679

Break this problem into two subproblems by setting 
(m + 0.7083333335) equal to 1.000867679 and -1.000867679.

Subproblem 1

m + 0.7083333335 = 1.000867679 Simplifying m + 0.7083333335 = 1.000867679 Reorder the terms: 0.7083333335 + m = 1.000867679 Solving 0.7083333335 + m = 1.000867679 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.7083333335' to each side of the equation. 0.7083333335 + -0.7083333335 + m = 1.000867679 + -0.7083333335 Combine like terms: 0.7083333335 + -0.7083333335 = 0.0000000000 0.0000000000 + m = 1.000867679 + -0.7083333335 m = 1.000867679 + -0.7083333335 Combine like terms: 1.000867679 + -0.7083333335 = 0.2925343455 m = 0.2925343455 Simplifying m = 0.2925343455

Subproblem 2

m + 0.7083333335 = -1.000867679 Simplifying m + 0.7083333335 = -1.000867679 Reorder the terms: 0.7083333335 + m = -1.000867679 Solving 0.7083333335 + m = -1.000867679 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.7083333335' to each side of the equation. 0.7083333335 + -0.7083333335 + m = -1.000867679 + -0.7083333335 Combine like terms: 0.7083333335 + -0.7083333335 = 0.0000000000 0.0000000000 + m = -1.000867679 + -0.7083333335 m = -1.000867679 + -0.7083333335 Combine like terms: -1.000867679 + -0.7083333335 = -1.7092010125 m = -1.7092010125 Simplifying m = -1.7092010125

Solution

The solution to the problem is based on the solutions from the subproblems. m = {0.2925343455, -1.7092010125}

See similar equations:

| 34+3= | | (-10)+(-1)= | | (-.833)+(-.083)= | | -3(4x+3)+(13x-2)=0 | | 4x^2+4x+4=0 | | 6a-4b-2a+c-3b+a= | | (-20.16)+(-3.9)= | | (-2)-(-3)= | | y=8x^2-18x | | 0.13w+5=6.17 | | (.9375)-(-.1875)= | | (.9375)-(.1875)= | | 106=6x-8 | | 3x+2=65 | | 12(z+5)=13z+2 | | x^2-10x+11=0 | | 2x+56+3x+19=180 | | (a+b-c)+3a-2c= | | (-3)(1.4)= | | n^2-4n-77=0 | | n+n+1+n+2=87 | | (17x-5)-4(4x+4)=-3 | | 0.3k+1.4=4.2-0.1k | | -b+4b=8b | | 4x-(3x+8)=-2 | | 2c-3=-15 | | 3(x-2)-2(5x-1)=10 | | -2v-7=-23 | | 8n-15-n^2=0 | | 4-p^2=0 | | -6q=q^2 | | 32x=352 |

Equations solver categories