2x^2+11x+30=0

Simple and best practice solution for 2x^2+11x+30=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 2x^2+11x+30=0 equation:


Simplifying
2x2 + 11x + 30 = 0

Reorder the terms:
30 + 11x + 2x2 = 0

Solving
30 + 11x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
15 + 5.5x + x2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 5.5x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 5.5x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5.5x + x2 = 0 + -15
5.5x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
5.5x + x2 = -15

The x term is 5.5x.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5x + 7.5625 + x2 = -15 + 7.5625

Reorder the terms:
7.5625 + 5.5x + x2 = -15 + 7.5625

Combine like terms: -15 + 7.5625 = -7.4375
7.5625 + 5.5x + x2 = -7.4375

Factor a perfect square on the left side:
(x + 2.75)(x + 2.75) = -7.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (5x+2)(5x+2)=16 | | xsquared-x-20= | | 14b-9b=15 | | f(x)=2x^3+6x^2-2x-6 | | 342v=19 | | 19v=342 | | X^2-6x-27=y | | (15x^2-34x-18)/(5x-3) | | 17y-3=33-y | | -2a^2+20-2a-40=0 | | 2.4k=36 | | -2a+20-2a-40=0 | | 4v^2+24v=0 | | 6x+6=9(x+2) | | l=4w+7 | | 3y+4=-5 | | 3(r-6)+2=(r+2)-22 | | 4(3+4x)-6=86 | | x-x/x | | 0.825t^2-0.91t+1.720=0 | | a-(a/a)= | | -4x+2(5x-8)=-46 | | (66-12y)/6=(2000y-4000)/2 | | 0.825t^2-0.91t+1.720=0solvet | | 10v+15b=700 | | 2.1x+20.8=52.0-8.3x | | y=5x^2+2x+7 | | 1-6y-7y=40 | | (3+4)(5+8)= | | =k/47 | | 8-5x=4-4x | | =47/k |

Equations solver categories