4a^2+9=205

Simple and best practice solution for 4a^2+9=205 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 4a^2+9=205 equation:


Simplifying
4a2 + 9 = 205

Reorder the terms:
9 + 4a2 = 205

Solving
9 + 4a2 = 205

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + 4a2 = 205 + -9

Combine like terms: 9 + -9 = 0
0 + 4a2 = 205 + -9
4a2 = 205 + -9

Combine like terms: 205 + -9 = 196
4a2 = 196

Divide each side by '4'.
a2 = 49

Simplifying
a2 = 49

Take the square root of each side:
a = {-7, 7}

See similar equations:

| ln(x)-ln(x^2)+ln(2)=0 | | 12g+4g+4g-17g=15 | | 5(m-8)=3m+20 | | 9m-14=19 | | x-5=-48 | | x^3-6x^2+18x-3=0 | | 10v^2+6=896 | | 3x+6=12*2 | | 13w-15w+4w+12w+4w=-18 | | 5r=(-7)+4r | | 1-5m=1-5m | | 9(x+3)+8(x+3)=7x-7 | | 7n+6=3n+22 | | 2b^2+3=-33 | | 4a+4a^2= | | X-3x+6=4x+24-6 | | 2g-10=10-8g | | 3b-5b+12b-3b=20 | | 3n+2=2n-5 | | 1.8*x=x*55.6 | | 61-6x=3x-119 | | -3b-5b+12b-3b=20 | | 4x+1-3= | | 25b^2+30b+9=0 | | a+2+1a=14 | | 5p-28=12 | | 2n-4-3n=8 | | -14n+13n-4n=15 | | (3x-7w-4)(5x+6)= | | 1.3x-3+5x-5=x-7.6 | | 1+5x-10x= | | 8(x-8)=8x-64 |

Equations solver categories