-2a^2+20a-4a-44=0

Simple and best practice solution for -2a^2+20a-4a-44=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 -2a^2+20a-4a-44=0 equation: 


Simplifying
-2a2 + 20a + -4a + -44 = 0

Reorder the terms:
-44 + 20a + -4a + -2a2 = 0

Combine like terms: 20a + -4a = 16a
-44 + 16a + -2a2 = 0

Solving
-44 + 16a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + 8a + -1a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-22 + 8a + -1a2)' equal to zero and attempt to solve:

Simplifying
-22 + 8a + -1a2 = 0

Solving
-22 + 8a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
22 + -8a + a2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -8a + -22 + a2 = 0 + -22

Reorder the terms:
22 + -22 + -8a + a2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -8a + a2 = 0 + -22
-8a + a2 = 0 + -22

Combine like terms: 0 + -22 = -22
-8a + a2 = -22

The a term is -8a.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8a + 16 + a2 = -22 + 16

Reorder the terms:
16 + -8a + a2 = -22 + 16

Combine like terms: -22 + 16 = -6
16 + -8a + a2 = -6

Factor a perfect square on the left side:
(a + -4)(a + -4) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| y=6+2 | | -2a^2+36a-4a-44=0 | | -3a^2+36a-6a-72=0 | | 7-9x=25-23x | | 8.7x+76.92=-11.3x+76.66 | | x^3+216= | | 6.4x-3.4=22.2 | | 3(6z-1)-5(z+5)=5(z+1) | | -7(t-6)-(t+9)=3 | | 2x+8=84 | | 3+7(x-7)=6-4(x-5) | | -2(5n+6)=6 | | 11y-4=44-y | | 0.6x=8 | | (2x+1)(x)(x+3)-440=0 | | 4y+7-3(2y+3)=4(3y-4)-7y+7 | | 24x^3+32x^2=0 | | x/5=-26+16 | | -4x+17=9 | | -3x-3x=50-20 | | 3x-1=2x+16 | | -2x+13=9table | | -2x+13=9 | | 2(x-3)+3x=6(x-2) | | 5a+4a(3a+-8)=4+13a | | x^2+15x+26= | | 36x^4-16=0 | | 3-2(x-2)=3(x+2) | | (x-7)+(3-x)=2 | | 12-3(x+2)=5x+1 | | 5x+5=x-6 | | x+(.13x)=23050 |

Equations solver categories