3x^2-32=400

Simple and best practice solution for 3x^2-32=400 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 3x^2-32=400 equation:


Simplifying
3x2 + -32 = 400

Reorder the terms:
-32 + 3x2 = 400

Solving
-32 + 3x2 = 400

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 3x2 = 400 + 32

Combine like terms: -32 + 32 = 0
0 + 3x2 = 400 + 32
3x2 = 400 + 32

Combine like terms: 400 + 32 = 432
3x2 = 432

Divide each side by '3'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}

See similar equations:

| -0.8x-0.6y=0.38 | | 5p+3.25=29.75 | | 2y-(-3)=13 | | x-36=0 | | 0.1x-0.1y=0.11 | | 5+4n-3+9n+9-6n= | | 1-27p^3=0 | | q^2+3q-18=0 | | 2x^2-15x+6=0 | | 4+16y-1+4y+59-2y= | | -5x^2-24x+5=0 | | 3x+6y=13 | | 6c-2(3c)=0 | | 2n^2-5n-4=6 | | 6b^2c+24bc+24c=0 | | 6*c-23c=0 | | x^2-6x-14=0 | | (b+12)(b-12)=0 | | g^2+9g=136 | | (B-12)(b+12)=0 | | (-7)+(-3)= | | 6*x-4=56+6 | | 12=b+9 | | x^2+18+32=0 | | x^2+x-28=0 | | ac-2bc=0 | | 15m+2=0 | | 9x^2-24xy+16y^2=0 | | g^2+7g=288 | | -3k-4=-2k+1 | | 12x^2-23+10=0 | | .5*p*8+b=84 |

Equations solver categories