a^2x+11ax+28x=0

Simple and best practice solution for a^2x+11ax+28x=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 a^2x+11ax+28x=0 equation: 


Simplifying
a2x + 11ax + 28x = 0

Reorder the terms:
11ax + a2x + 28x = 0

Solving
11ax + a2x + 28x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11a + a2 + 28) = 0

Factor a trinomial.
x((a + 4)(a + 7)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(a + 4)' equal to zero and attempt to solve:

Simplifying
a + 4 = 0

Reorder the terms:
4 + a = 0

Solving
4 + a = 0

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

Add '-4' to each side of the equation.
4 + -4 + a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a = 0 + -4
a = 0 + -4

Combine like terms: 0 + -4 = -4
a = -4

Simplifying
a = -4

Subproblem 3
Set the factor '(a + 7)' equal to zero and attempt to solve:

Simplifying
a + 7 = 0

Reorder the terms:
7 + a = 0

Solving
7 + a = 0

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

Add '-7' to each side of the equation.
7 + -7 + a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + a = 0 + -7
a = 0 + -7

Combine like terms: 0 + -7 = -7
a = -7

Simplifying
a = -7
Solution
a = {-4, -7}

See similar equations:

| -7x+4(x-3)=-33 | | 17.5*4= | | X+5+y=180 | | -9=a(9-5t) | | X+5+3x+5+y+2y+15=360 | | 7t-4=10n+14 | | 3.8y+8x=6 | | -8x=-4(x-4) | | 2(2x-4)-x-3=-14 | | log(8x+6)=1 | | 6(3n+2)=9(5n+9)+2 | | X+5+3x+5+y+2y+15=180 | | x^2+4x+161=0 | | -2a-9=6x+15 | | -3x-45=-11x+51 | | f(x)=-12x+48 | | .3x-2.3=.1 | | 2(4y-3)=-10 | | -7w+2(w+4)=3 | | 8+x=-21 | | -32+t+18= | | 5y+12=57 | | 12=x^2-4 | | 10x+y=7(x+y) | | -25+2v=-56v-42 | | 50c+5f+10cr+fr=0 | | r^2-r+2=7 | | X+5+3x+5=180 | | y+3=-.5(x+5) | | 7b=6b-9 | | -5(2t-2)+6t=5t-6 | | (-19)+x=-33 |

Equations solver categories