4(x^2-2)+3=11

Simple and best practice solution for 4(x^2-2)+3=11 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 4(x^2-2)+3=11 equation: 


Simplifying
4(x2 + -2) + 3 = 11

Reorder the terms:
4(-2 + x2) + 3 = 11
(-2 * 4 + x2 * 4) + 3 = 11
(-8 + 4x2) + 3 = 11

Reorder the terms:
-8 + 3 + 4x2 = 11

Combine like terms: -8 + 3 = -5
-5 + 4x2 = 11

Solving
-5 + 4x2 = 11

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x2 = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 4x2 = 11 + 5
4x2 = 11 + 5

Combine like terms: 11 + 5 = 16
4x2 = 16

Divide each side by '4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

See similar equations:

| 1/3(x+4)^2=12 | | x-9=-x+3 | | (x)=3-5x-2x | | 3(5x-4)=2(4x+6) | | 3x^2-8=22 | | 3/4+2/5 | | 128=-16t^2+112t | | 3(x+5m+4)= | | 3/x-3+3=15/x-3 | | 8x+11=5x+1 | | 1/3(x^3)-3/2(x^2)=0 | | 3x/9=15 | | 7.5(q+1.6)=29.25 | | 1/2+6=z-1 | | 6(41-21)-6(20-2)= | | 6y-2x+4=10y+6x-6 | | 1/3x^3-3/2x^2=0 | | 12m+4n-3m+8n= | | 1/3x^3-3/2x^2 | | 4x-5y+4=3y+2x+7 | | 22t+48=-28t | | 8x-1.2=-9+14.1 | | 5x^2+64=100 | | 10x+26=-64 | | -h+11h-16=74 | | 8/9+5/7 | | -2/3r=5/6r-36 | | 3x^2=51 | | -36+9y=-3y | | (5x-10)(2x+8)=0 | | -15=-3n-6n | | 525.00+21x=585.00+.13x |

Equations solver categories