18x^2+3x-45=0

Simple and best practice solution for 18x^2+3x-45=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 18x^2+3x-45=0 equation:


Simplifying
18x2 + 3x + -45 = 0

Reorder the terms:
-45 + 3x + 18x2 = 0

Solving
-45 + 3x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + x + 6x2) = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-1.666666667, 1.5}

See similar equations:

| 4.5x-0.5y=3 | | 12(3+4)=(2y+8) | | (4x-5y)*2= | | -15x^2+5=-45 | | 73=4.9*t^2 | | 7x+6=x | | 74*x/178=1.0 | | 9=4.9*t^2 | | 4x-8=5x+10 | | -18-7k=19-7k | | 20(w^4)=60+15w | | x(x-50)=180 | | 38=4.9*t^2 | | 4x-2(x-5)=-7+5x+11 | | 5-2z=-2z+1 | | 49=4.9*t^2 | | x^3+729i=0 | | 3x^2+12-25=50 | | -40+2x=-4x+92 | | 25=4.9*t^2 | | -40+2x=-4+92 | | 4p+zr=r-7g | | 3x-5x+7=17 | | 3x/10=6/5 | | 40=4.9*t^2 | | 7x+8(3)= | | 8-(3+b)=1(b-19) | | 6x^2+45x+18=0 | | x^2+6x=6x+4 | | 2t^3-10t^2-16t+24=0 | | 57=4.9*t^2 | | .30/m+38=74 |

Equations solver categories