5a^2+18=21a

Simple and best practice solution for 5a^2+18=21a 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 5a^2+18=21a equation:


Simplifying
5a2 + 18 = 21a

Reorder the terms:
18 + 5a2 = 21a

Solving
18 + 5a2 = 21a

Solving for variable 'a'.

Reorder the terms:
18 + -21a + 5a2 = 21a + -21a

Combine like terms: 21a + -21a = 0
18 + -21a + 5a2 = 0

Factor a trinomial.
(6 + -5a)(3 + -1a) = 0

Subproblem 1

Set the factor '(6 + -5a)' equal to zero and attempt to solve: Simplifying 6 + -5a = 0 Solving 6 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 0 + -6 -5a = 0 + -6 Combine like terms: 0 + -6 = -6 -5a = -6 Divide each side by '-5'. a = 1.2 Simplifying a = 1.2

Subproblem 2

Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3

Solution

a = {1.2, 3}

See similar equations:

| 2thirdsx=20 | | 21x^2-28=37x | | X=6+-1x^2 | | 18(4.5)-1=107-6(4.5) | | 4b^2+8b-32=0 | | 3+2X+2=6+3X | | -2ln^2(2)+2ln^2(4)= | | f(x)=-2+3 | | pxy+pq+qy-yz=0 | | h=-9.8t^2+25+3 | | x^3+4x^2=10x+4 | | 2(y-7)-6y=2 | | y^2-16y=-15 | | 4-(5-8x)=3x+9(3+x) | | =2x^3-x^2-5x-2 | | 4+4(5)=10 | | 10(4+(-11))=14(-11)-4 | | 3P-21=2P | | 27x-129=6x-24 | | 12(y+5)=13y+5 | | B+5+6=1 | | 28-14A=24+12A | | 4x-8=100 | | 11+19u= | | 1-(3x-9)=5 | | 0.5=cosx | | 3qr=12q+5 | | 8n^2-n+7=-3 | | (10y+23)=(4y+26) | | p(1+q^2)=q(z-a) | | Y=3x^2+16-12 | | 4n+2n=2(n+3) |

Equations solver categories