2(g^2-7g-10)=0

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


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

Reorder the terms:
2(-10 + -7g + g2) = 0
(-10 * 2 + -7g * 2 + g2 * 2) = 0
(-20 + -14g + 2g2) = 0

Solving
-20 + -14g + 2g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -7g + g2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -7g + g2)' equal to zero and attempt to solve:

Simplifying
-10 + -7g + g2 = 0

Solving
-10 + -7g + g2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -7g + 10 + g2 = 0 + 10

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

Combine like terms: -10 + 10 = 0
0 + -7g + g2 = 0 + 10
-7g + g2 = 0 + 10

Combine like terms: 0 + 10 = 10
-7g + g2 = 10

The g term is -7g.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7g + 12.25 + g2 = 10 + 12.25

Reorder the terms:
12.25 + -7g + g2 = 10 + 12.25

Combine like terms: 10 + 12.25 = 22.25
12.25 + -7g + g2 = 22.25

Factor a perfect square on the left side:
(g + -3.5)(g + -3.5) = 22.25

Calculate the square root of the right side: 4.716990566

Break this problem into two subproblems by setting 
(g + -3.5) equal to 4.716990566 and -4.716990566.


Subproblem 1
g + -3.5 = 4.716990566

Simplifying
g + -3.5 = 4.716990566

Reorder the terms:
-3.5 + g = 4.716990566

Solving
-3.5 + g = 4.716990566

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '3.5' to each side of the equation.
-3.5 + 3.5 + g = 4.716990566 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + g = 4.716990566 + 3.5
g = 4.716990566 + 3.5

Combine like terms: 4.716990566 + 3.5 = 8.216990566
g = 8.216990566

Simplifying
g = 8.216990566


Subproblem 2
g + -3.5 = -4.716990566

Simplifying
g + -3.5 = -4.716990566

Reorder the terms:
-3.5 + g = -4.716990566

Solving
-3.5 + g = -4.716990566

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '3.5' to each side of the equation.
-3.5 + 3.5 + g = -4.716990566 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + g = -4.716990566 + 3.5
g = -4.716990566 + 3.5

Combine like terms: -4.716990566 + 3.5 = -1.216990566
g = -1.216990566

Simplifying
g = -1.216990566


Solution
The solution to the problem is based on the solutions
from the subproblems.
g = {8.216990566, -1.216990566}
Solution
g = {8.216990566, -1.216990566}

See similar equations:

| 9x-162= | | 0.7n-62=0.5n-48 | | 7x=3x-8 | | 4(x)=30-2x | | 2x+49=109 | | 2k+3=4k-6 | | 0.6y-9=2y+3 | | 3x+4+6x+8= | | (3n+6)(6n-3)=9 | | -x^2+3x-4= | | 2-(x+1)= | | 13x-14=10x+13 | | -7=0.647z | | 2b+by=7x | | v*-1.8=18 | | 10-8f=2f+4 | | 8a+2b=-40 | | 20x-x^2-64=0 | | 3w^2+5w=250 | | 3x^2+3x*x=0 | | x+6x+20=-8x-29 | | Ab(a-b)(a-2b)= | | (x-6)-(x-6)= | | x+15=x+2x+3x+5 | | 3x-3x+3=5 | | .83T+4=.17T-2 | | x-41=-4 | | 6w+2=5w-12 | | 8a+2b+c=-47 | | 3y-7+y+37=6y+30-4y | | 4x^2+4x=5 | | 4(5y-1)=52 |

Equations solver categories