7g^2-2g-10=0

Simple and best practice solution for 7g^2-2g-10=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^2-2g-10=0 equation:


Simplifying
7g2 + -2g + -10 = 0

Reorder the terms:
-10 + -2g + 7g2 = 0

Solving
-10 + -2g + 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'.
-1.428571429 + -0.2857142857g + g2 = 0

Move the constant term to the right:

Add '1.428571429' to each side of the equation.
-1.428571429 + -0.2857142857g + 1.428571429 + g2 = 0 + 1.428571429

Reorder the terms:
-1.428571429 + 1.428571429 + -0.2857142857g + g2 = 0 + 1.428571429

Combine like terms: -1.428571429 + 1.428571429 = 0.000000000
0.000000000 + -0.2857142857g + g2 = 0 + 1.428571429
-0.2857142857g + g2 = 0 + 1.428571429

Combine like terms: 0 + 1.428571429 = 1.428571429
-0.2857142857g + g2 = 1.428571429

The g term is -0.2857142857g.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857g + 0.02040816328 + g2 = 1.428571429 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857g + g2 = 1.428571429 + 0.02040816328

Combine like terms: 1.428571429 + 0.02040816328 = 1.44897959228
0.02040816328 + -0.2857142857g + g2 = 1.44897959228

Factor a perfect square on the left side:
(g + -0.1428571429)(g + -0.1428571429) = 1.44897959228

Calculate the square root of the right side: 1.203735682

Break this problem into two subproblems by setting 
(g + -0.1428571429) equal to 1.203735682 and -1.203735682.

Subproblem 1

g + -0.1428571429 = 1.203735682 Simplifying g + -0.1428571429 = 1.203735682 Reorder the terms: -0.1428571429 + g = 1.203735682 Solving -0.1428571429 + g = 1.203735682 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '0.1428571429' to each side of the equation. -0.1428571429 + 0.1428571429 + g = 1.203735682 + 0.1428571429 Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000 0.0000000000 + g = 1.203735682 + 0.1428571429 g = 1.203735682 + 0.1428571429 Combine like terms: 1.203735682 + 0.1428571429 = 1.3465928249 g = 1.3465928249 Simplifying g = 1.3465928249

Subproblem 2

g + -0.1428571429 = -1.203735682 Simplifying g + -0.1428571429 = -1.203735682 Reorder the terms: -0.1428571429 + g = -1.203735682 Solving -0.1428571429 + g = -1.203735682 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '0.1428571429' to each side of the equation. -0.1428571429 + 0.1428571429 + g = -1.203735682 + 0.1428571429 Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000 0.0000000000 + g = -1.203735682 + 0.1428571429 g = -1.203735682 + 0.1428571429 Combine like terms: -1.203735682 + 0.1428571429 = -1.0608785391 g = -1.0608785391 Simplifying g = -1.0608785391

Solution

The solution to the problem is based on the solutions from the subproblems. g = {1.3465928249, -1.0608785391}

See similar equations:

| x-39=-33 | | 25+1.75r=103.25r | | 7x+5x+2+8=9x+4+2x | | 2x+15=3x-1 | | 3/3-5/2= | | 5x-4=2x-8 | | -4+a=25 | | 4t^2-100=0 | | 2(x-5x)+3x+7= | | .05x=12 | | 32x^6-72x^4=0 | | -8+t=24 | | xa=by | | 3x^2-13x=-19 | | ax=by | | n*n=81 | | 2y=3x+11 | | 7x-6=4x+18 | | r+3=20 | | 5x-10=(-7)x+1 | | 7(7-3m)=-m-11 | | 2s-3s+10s+5s-3= | | -9k^2-8k=0 | | (x-3)(4x+5)=0 | | -9k^2-8=0 | | 4t-42=-18 | | 49-14x+x^2=0 | | 8t+5=77 | | 9y+10=1 | | 4r-6=14 | | 7m+6=6 | | 5r+3=33 |

Equations solver categories