g^2+4g-33=0

Simple and best practice solution for g^2+4g-33=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 g^2+4g-33=0 equation:


Simplifying
g2 + 4g + -33 = 0

Reorder the terms:
-33 + 4g + g2 = 0

Solving
-33 + 4g + g2 = 0

Solving for variable 'g'.

Begin completing the square.

Move the constant term to the right:

Add '33' to each side of the equation.
-33 + 4g + 33 + g2 = 0 + 33

Reorder the terms:
-33 + 33 + 4g + g2 = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 4g + g2 = 0 + 33
4g + g2 = 0 + 33

Combine like terms: 0 + 33 = 33
4g + g2 = 33

The g term is 4g.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4g + 4 + g2 = 33 + 4

Reorder the terms:
4 + 4g + g2 = 33 + 4

Combine like terms: 33 + 4 = 37
4 + 4g + g2 = 37

Factor a perfect square on the left side:
(g + 2)(g + 2) = 37

Calculate the square root of the right side: 6.08276253

Break this problem into two subproblems by setting 
(g + 2) equal to 6.08276253 and -6.08276253.

Subproblem 1

g + 2 = 6.08276253 Simplifying g + 2 = 6.08276253 Reorder the terms: 2 + g = 6.08276253 Solving 2 + g = 6.08276253 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = 6.08276253 + -2 Combine like terms: 2 + -2 = 0 0 + g = 6.08276253 + -2 g = 6.08276253 + -2 Combine like terms: 6.08276253 + -2 = 4.08276253 g = 4.08276253 Simplifying g = 4.08276253

Subproblem 2

g + 2 = -6.08276253 Simplifying g + 2 = -6.08276253 Reorder the terms: 2 + g = -6.08276253 Solving 2 + g = -6.08276253 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = -6.08276253 + -2 Combine like terms: 2 + -2 = 0 0 + g = -6.08276253 + -2 g = -6.08276253 + -2 Combine like terms: -6.08276253 + -2 = -8.08276253 g = -8.08276253 Simplifying g = -8.08276253

Solution

The solution to the problem is based on the solutions from the subproblems. g = {4.08276253, -8.08276253}

See similar equations:

| 5x-3-2x+10=3(2x-3)-x | | 7n-2=11n-14 | | x^2-14x-29=3 | | 4x=3x+17 | | 1/10y-6=5/6 | | 9x=11-3(5x-8) | | 5x+87=9x-5 | | -9x-x-68=22 | | -9+12r=-3r | | 13x+5+6x+9= | | 8(x+6)+3(x+6)=7x-7 | | 7mn-4mn= | | 2(x+15)=51+11 | | 0.15x-1.25=1.25 | | -82-x-7x=30 | | 9(2x-5)=3x+2 | | 15v-60=3(20-5v) | | 3(4k+5)-14k+9+3= | | 7-3p=-10p | | 2x+3=-77-8x | | -11+4x-2x=17 | | a*b=4x | | -3+(x+1)(x+2)=-1+x(x+3) | | log1/2(7) | | 2x+17=51+11 | | -1(-5e)= | | 0=7n+21 | | X-x/2=18 | | 6(5-6)=-246 | | (w+1)(2w-3)=3 | | -6(8+12)=456 | | 6m+4.25= |

Equations solver categories