7g^2-3g-8=0

Simple and best practice solution for 7g^2-3g-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 7g^2-3g-8=0 equation:


Simplifying
7g2 + -3g + -8 = 0

Reorder the terms:
-8 + -3g + 7g2 = 0

Solving
-8 + -3g + 7g2 = 0

Solving for variable 'g'.

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

Divide each side by '7'.
-1.142857143 + -0.4285714286g + g2 = 0

Move the constant term to the right:

Add '1.142857143' to each side of the equation.
-1.142857143 + -0.4285714286g + 1.142857143 + g2 = 0 + 1.142857143

Reorder the terms:
-1.142857143 + 1.142857143 + -0.4285714286g + g2 = 0 + 1.142857143

Combine like terms: -1.142857143 + 1.142857143 = 0.000000000
0.000000000 + -0.4285714286g + g2 = 0 + 1.142857143
-0.4285714286g + g2 = 0 + 1.142857143

Combine like terms: 0 + 1.142857143 = 1.142857143
-0.4285714286g + g2 = 1.142857143

The g term is -0.4285714286g.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286g + 0.04591836735 + g2 = 1.142857143 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286g + g2 = 1.142857143 + 0.04591836735

Combine like terms: 1.142857143 + 0.04591836735 = 1.18877551035
0.04591836735 + -0.4285714286g + g2 = 1.18877551035

Factor a perfect square on the left side:
(g + -0.2142857143)(g + -0.2142857143) = 1.18877551035

Calculate the square root of the right side: 1.090309823

Break this problem into two subproblems by setting 
(g + -0.2142857143) equal to 1.090309823 and -1.090309823.

Subproblem 1

g + -0.2142857143 = 1.090309823 Simplifying g + -0.2142857143 = 1.090309823 Reorder the terms: -0.2142857143 + g = 1.090309823 Solving -0.2142857143 + g = 1.090309823 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '0.2142857143' to each side of the equation. -0.2142857143 + 0.2142857143 + g = 1.090309823 + 0.2142857143 Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000 0.0000000000 + g = 1.090309823 + 0.2142857143 g = 1.090309823 + 0.2142857143 Combine like terms: 1.090309823 + 0.2142857143 = 1.3045955373 g = 1.3045955373 Simplifying g = 1.3045955373

Subproblem 2

g + -0.2142857143 = -1.090309823 Simplifying g + -0.2142857143 = -1.090309823 Reorder the terms: -0.2142857143 + g = -1.090309823 Solving -0.2142857143 + g = -1.090309823 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '0.2142857143' to each side of the equation. -0.2142857143 + 0.2142857143 + g = -1.090309823 + 0.2142857143 Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000 0.0000000000 + g = -1.090309823 + 0.2142857143 g = -1.090309823 + 0.2142857143 Combine like terms: -1.090309823 + 0.2142857143 = -0.8760241087 g = -0.8760241087 Simplifying g = -0.8760241087

Solution

The solution to the problem is based on the solutions from the subproblems. g = {1.3045955373, -0.8760241087}

See similar equations:

| 0.5(x+450)=300 | | -9=-6t+16 | | 5y=-2x+3 | | 2x=5(x+30) | | 3a^3b*7ab^5= | | Cos(x)=-.5478 | | 7(-6+9m)= | | 0.25(x+9)=7 | | 4(-2+5k)= | | Sec(x)=-2.773 | | 4x+28=2x+16 | | 14m-5m= | | 14=4k-31 | | 3h+11=17-6h | | 2v+8=22 | | -1.5v-1.7=-3.2 | | 8=-2+5v | | 2x^4+3x-38=0 | | 15h=-90 | | 67=5n+10-2n | | 9x*6y= | | -7.4y+6=1.4 | | 9-4k+15k+19= | | 2n+9=6n-4 | | (a-1)(2a+2)= | | 12-2c-4= | | -2(7+4w)-5= | | 28=12-8a | | 11c-19c= | | x+31=-86 | | 5a+4(3a-8)=4+13x | | 2=2v+4 |

Equations solver categories