11a^2+32a+18=-7

Simple and best practice solution for 11a^2+32a+18=-7 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 11a^2+32a+18=-7 equation: 


Simplifying
11a2 + 32a + 18 = -7

Reorder the terms:
18 + 32a + 11a2 = -7

Solving
18 + 32a + 11a2 = -7

Solving for variable 'a'.

Reorder the terms:
18 + 7 + 32a + 11a2 = -7 + 7

Combine like terms: 18 + 7 = 25
25 + 32a + 11a2 = -7 + 7

Combine like terms: -7 + 7 = 0
25 + 32a + 11a2 = 0

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

Divide each side by '11'.
2.272727273 + 2.909090909a + a2 = 0

Move the constant term to the right:

Add '-2.272727273' to each side of the equation.
2.272727273 + 2.909090909a + -2.272727273 + a2 = 0 + -2.272727273

Reorder the terms:
2.272727273 + -2.272727273 + 2.909090909a + a2 = 0 + -2.272727273

Combine like terms: 2.272727273 + -2.272727273 = 0.000000000
0.000000000 + 2.909090909a + a2 = 0 + -2.272727273
2.909090909a + a2 = 0 + -2.272727273

Combine like terms: 0 + -2.272727273 = -2.272727273
2.909090909a + a2 = -2.272727273

The a term is 2.909090909a.  Take half its coefficient (1.454545455).
Square it (2.115702481) and add it to both sides.

Add '2.115702481' to each side of the equation.
2.909090909a + 2.115702481 + a2 = -2.272727273 + 2.115702481

Reorder the terms:
2.115702481 + 2.909090909a + a2 = -2.272727273 + 2.115702481

Combine like terms: -2.272727273 + 2.115702481 = -0.157024792
2.115702481 + 2.909090909a + a2 = -0.157024792

Factor a perfect square on the left side:
(a + 1.454545455)(a + 1.454545455) = -0.157024792

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2[3x-4]=50 | | -1/2x@d | | 53=g-15 | | a/0.4=40/100 | | 5x-(x+3)=3x+6-5 | | -2x-2(5x-9)=90 | | 6n+5=10n-4 | | x+10+2x+3x+x=720 | | 1p-0.24= | | w^2=16/9 | | W-17=67 | | k+10=37 | | -0.75(-x+8)=0.5(6x-10) | | -2(2x-4)=-4(-1x+2) | | 1.5y+3.5y-16+14=8 | | x-2/-2=3x-2/5 | | 8x-(2x-7)=11 | | 89=x/3-15 | | Z-40=35 | | 9-2x=35.6 | | -5(2x+4)=60 | | K-53=24 | | -4(x-12)+3x=-4x+7x-11-4x | | M-6=32 | | -141=-7x-3(3x+15) | | 2x-6=-x+12 | | x+0.432=7 | | 4n-6=2n-2 | | (-2a+5)-(7a-4)= | | 4(m+22)=44 | | 40(x-160)=80 | | 5x-5=4x-5 |

Equations solver categories