a(a)+14a=-45

Simple and best practice solution for a(a)+14a=-45 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(a)+14a=-45 equation:


Simplifying
a(a) + 14a = -45

Multiply a * a
a2 + 14a = -45

Reorder the terms:
14a + a2 = -45

Solving
14a + a2 = -45

Solving for variable 'a'.

Reorder the terms:
45 + 14a + a2 = -45 + 45

Combine like terms: -45 + 45 = 0
45 + 14a + a2 = 0

Factor a trinomial.
(9 + a)(5 + a) = 0

Subproblem 1

Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9

Subproblem 2

Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5

Solution

a = {-9, -5}

See similar equations:

| 1/4=b-(-2/5) | | h(h)+2h=35 | | p(p)-3p=18 | | W-(-5)=16 | | -(52r+89s-50)= | | -s+-31=20 | | y(y)-2y-24=0 | | d(d)+7d+10=0 | | 3mn-2m(n-4m)= | | 7/8=b+1/2 | | 55x+55=48x | | m(m)+5m+6=0 | | (8x-15)/(x-5)=11 | | U-3/4=5/6 | | (x+10/3x-5)+(3x+15/6x-30) | | -(52r-89s+50)= | | 6=-1/3p | | 5y^3(y-2)-15y(y-2)= | | (2r+2)(2r+2)=169 | | 37x-43-(70+30x)= | | y=(x-10)(x+2) | | (x+5)(x+3)=5 | | (-27/36)+(-13/36) | | 27/36+13/36 | | 3p+9q-4(4p-3q)= | | 8x(x)=-26x | | (2x-5y)(X+Y)= | | -7-6=5 | | 14x(x)=-21x | | 18x(x)=15x | | 12g^2+64g+77=0 | | 90x+50y=.65 |

Equations solver categories