g^2-2g=223

Simple and best practice solution for g^2-2g=223 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 g^2-2g=223 equation:


Simplifying
g2 + -2g = 223

Reorder the terms:
-2g + g2 = 223

Solving
-2g + g2 = 223

Solving for variable 'g'.

Reorder the terms:
-223 + -2g + g2 = 223 + -223

Combine like terms: 223 + -223 = 0
-223 + -2g + g2 = 0

Begin completing the square.

Move the constant term to the right:

Add '223' to each side of the equation.
-223 + -2g + 223 + g2 = 0 + 223

Reorder the terms:
-223 + 223 + -2g + g2 = 0 + 223

Combine like terms: -223 + 223 = 0
0 + -2g + g2 = 0 + 223
-2g + g2 = 0 + 223

Combine like terms: 0 + 223 = 223
-2g + g2 = 223

The g term is -2g.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2g + 1 + g2 = 223 + 1

Reorder the terms:
1 + -2g + g2 = 223 + 1

Combine like terms: 223 + 1 = 224
1 + -2g + g2 = 224

Factor a perfect square on the left side:
(g + -1)(g + -1) = 224

Calculate the square root of the right side: 14.966629547

Break this problem into two subproblems by setting 
(g + -1) equal to 14.966629547 and -14.966629547.

Subproblem 1

g + -1 = 14.966629547 Simplifying g + -1 = 14.966629547 Reorder the terms: -1 + g = 14.966629547 Solving -1 + g = 14.966629547 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + g = 14.966629547 + 1 Combine like terms: -1 + 1 = 0 0 + g = 14.966629547 + 1 g = 14.966629547 + 1 Combine like terms: 14.966629547 + 1 = 15.966629547 g = 15.966629547 Simplifying g = 15.966629547

Subproblem 2

g + -1 = -14.966629547 Simplifying g + -1 = -14.966629547 Reorder the terms: -1 + g = -14.966629547 Solving -1 + g = -14.966629547 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + g = -14.966629547 + 1 Combine like terms: -1 + 1 = 0 0 + g = -14.966629547 + 1 g = -14.966629547 + 1 Combine like terms: -14.966629547 + 1 = -13.966629547 g = -13.966629547 Simplifying g = -13.966629547

Solution

The solution to the problem is based on the solutions from the subproblems. g = {15.966629547, -13.966629547}

See similar equations:

| -26+1x=10 | | 5d^2-4d+2+0=0 | | 26+1x=52 | | 26+1x=57 | | 26+1x=37 | | 2+3(0.6x-0.02)=2(0.4x+0.3) | | 24=17-C | | 3(x-2)+4(2x-6)=6(2-4)+8(2x+1) | | 142-6x=21x+16 | | (m+8)+5= | | 90=n*5 | | PROVEA-(B-C)=(A-B)U(AnC) | | 2x^2+14=22 | | -2=13x-5 | | 47+1x=100 | | 47+1x=70 | | A-(B-C)=(A-B)U(AnC) | | 5w-5w+12+30= | | 8t^2-6t+9=0 | | 47=1x | | 4x-8+2(5x+1)=-2(x+5) | | 6f-8+6f-2f= | | 7X-5=2X+13 | | 12(x^4+7x^2+1)=0 | | b^2=141 | | Y^2+14Y+8=0 | | y=3x^2-32x+2 | | -39.00+1.00x=61 | | 9x+39=5-8x | | 4u-16=52 | | a*4b=700 | | a*3b=700 |

Equations solver categories