g^2-8g+16=2

Simple and best practice solution for g^2-8g+16=2 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^2-8g+16=2 equation:


Simplifying
g2 + -8g + 16 = 2

Reorder the terms:
16 + -8g + g2 = 2

Solving
16 + -8g + g2 = 2

Solving for variable 'g'.

Reorder the terms:
16 + -2 + -8g + g2 = 2 + -2

Combine like terms: 16 + -2 = 14
14 + -8g + g2 = 2 + -2

Combine like terms: 2 + -2 = 0
14 + -8g + g2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -8g + -14 + g2 = 0 + -14

Reorder the terms:
14 + -14 + -8g + g2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -8g + g2 = 0 + -14
-8g + g2 = 0 + -14

Combine like terms: 0 + -14 = -14
-8g + g2 = -14

The g term is -8g.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8g + 16 + g2 = -14 + 16

Reorder the terms:
16 + -8g + g2 = -14 + 16

Combine like terms: -14 + 16 = 2
16 + -8g + g2 = 2

Factor a perfect square on the left side:
(g + -4)(g + -4) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(g + -4) equal to 1.414213562 and -1.414213562.

Subproblem 1

g + -4 = 1.414213562 Simplifying g + -4 = 1.414213562 Reorder the terms: -4 + g = 1.414213562 Solving -4 + g = 1.414213562 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + g = 1.414213562 + 4 Combine like terms: -4 + 4 = 0 0 + g = 1.414213562 + 4 g = 1.414213562 + 4 Combine like terms: 1.414213562 + 4 = 5.414213562 g = 5.414213562 Simplifying g = 5.414213562

Subproblem 2

g + -4 = -1.414213562 Simplifying g + -4 = -1.414213562 Reorder the terms: -4 + g = -1.414213562 Solving -4 + g = -1.414213562 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + g = -1.414213562 + 4 Combine like terms: -4 + 4 = 0 0 + g = -1.414213562 + 4 g = -1.414213562 + 4 Combine like terms: -1.414213562 + 4 = 2.585786438 g = 2.585786438 Simplifying g = 2.585786438

Solution

The solution to the problem is based on the solutions from the subproblems. g = {5.414213562, 2.585786438}

See similar equations:

| y=x^3+8x^2-21x+2 | | 3-(3x-1)=2(x+3)-1 | | m-8.3=-6.8 | | 0.08(12)+0.02x=0.04(12+x) | | x+5(4)=56 | | 3x^8-7x^8= | | m+26=19 | | m-26=19 | | 5(x+4)+12=2(x-3)-1 | | x+5*4=56 | | 8-t^2=0 | | -5(x+3)+7x=-7 | | 0.36(24)+0.04=0.12(24+x) | | 10n+8=88 | | 3n+5=17 | | 5-(x+3)+7x=-7 | | 0.20(24)+0.05=0.10(12+x) | | 4(3y-1)-3(2y)=6 | | -(6y+5)-(-5y-6)=-5 | | 5p-7=8 | | .135=.05*x | | -24+x=x+17 | | 5(x*4)+12=2(x-3)-1 | | -25+w=w+17 | | x-506=1154-x | | x-15=87-x | | 8=n-8 | | 25x^2-70x+49=0 | | 12x^2+25x-4=3 | | 2x^2+7x+10=0 | | 223-3x=33x+23 | | 2s^2-9s=5 |

Equations solver categories