x^2+3x+16=6

Simple and best practice solution for x^2+3x+16=6 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 x^2+3x+16=6 equation:


Simplifying
x2 + 3x + 16 = 6

Reorder the terms:
16 + 3x + x2 = 6

Solving
16 + 3x + x2 = 6

Solving for variable 'x'.

Reorder the terms:
16 + -6 + 3x + x2 = 6 + -6

Combine like terms: 16 + -6 = 10
10 + 3x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
10 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 3x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 3x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x + x2 = 0 + -10
3x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
3x + x2 = -10

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -10 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + 3x + x2 = -7.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 68-6x=164 | | 6(3x+4)+3(2x+5)+5=24x+45 | | 17/5=x/7 | | m^2-2m-22=0 | | 3xy^2+2y-4y^2= | | m=3p+3q | | y^2-4y^2= | | 4=6/7(-3)+b | | -4x+4x=8 | | 8x+28+2y+2z=360 | | 0=42b^2-16 | | -18n+10=-16n-10 | | (3x+134)+(6x+10)=180 | | 8x+28=2y | | 21-7x/18x | | -30-(-19)=x/11 | | (21-7x)/18x | | u/9=7/17 | | 6log(p+4)=0 | | -3k(k-1)=0 | | 6+2X+X^2=20 | | 17/13=y/5 | | 75*12= | | 4r(r+5)=0 | | 11/17=12/u | | 130=(X*4.5)+(X*2) | | 8x+3x=2(x+15) | | (v+5)(-4v+5)=0 | | 11/v=5/17 | | 6n(4n+5)=0 | | h(2h-7)=0 | | 25-15=5(x-7) |

Equations solver categories