45x^2+60x+20=0

Simple and best practice solution for 45x^2+60x+20=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 45x^2+60x+20=0 equation:


Simplifying
45x2 + 60x + 20 = 0

Reorder the terms:
20 + 60x + 45x2 = 0

Solving
20 + 60x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + 12x + 9x2) = 0

Factor a trinomial.
5((2 + 3x)(2 + 3x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Subproblem 2

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Solution

x = {-0.6666666667, -0.6666666667}

See similar equations:

| 16r-24+4r-8= | | 6(w+2)-(-2w-3)=7w | | 175-5x=3x+19 | | (14+a)/(9+b)=9/4 | | 0=-16t^2+256-256 | | (2x-5)(4x+3)= | | -2(3x+1)=8-4x | | 4(9-7x)= | | ((w-7)/7)=22-((5w+9)/2) | | H=-16t^2+256-256 | | 3x+35=10x | | (2x-3)-(9x+14)= | | x^3-20x^2+100x=48 | | -7x+5=12 | | 225-(-30)= | | 16t^2+4t+20=0 | | -40x^3+57x^2=-27x | | 2(-2-5n)-3n=-82 | | m+1n=7 | | u+1-2(-7u-5)=5(u-1) | | 4(1-y)=10 | | g+2=11 | | 50+75h=65 | | 6t-18=6x-18 | | [-17]= | | 4(x+5)-5=6x+7.4-4x | | x^218=9 | | 4z+3=5y+4 | | m-2n=7 | | 5m+12=37 | | 2x-7/3-5x+4 | | x=5y+4 |

Equations solver categories