3t^2+13t-10=0

Simple and best practice solution for 3t^2+13t-10=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 3t^2+13t-10=0 equation:


Simplifying
3t2 + 13t + -10 = 0

Reorder the terms:
-10 + 13t + 3t2 = 0

Solving
-10 + 13t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-5 + -1t)(2 + -3t) = 0

Subproblem 1

Set the factor '(-5 + -1t)' equal to zero and attempt to solve: Simplifying -5 + -1t = 0 Solving -5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 0 + 5 -1t = 0 + 5 Combine like terms: 0 + 5 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5

Subproblem 2

Set the factor '(2 + -3t)' equal to zero and attempt to solve: Simplifying 2 + -3t = 0 Solving 2 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 0 + -2 -3t = 0 + -2 Combine like terms: 0 + -2 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667

Solution

t = {-5, 0.6666666667}

See similar equations:

| 81r^10s^6/(3r^2s)^4 | | 4+2x+12= | | 54=7b-2 | | T/2.7=4/3.6 | | T/2.5=4/3.6 | | 24=h/18-16-13 | | 3/2r^2-2r=2 | | x-c/2=3c/2 | | 25p+25=30p-55 | | 3x^3+9x^2+6x+2=0 | | -4(t-2)+6t=5t-6 | | -3(2n-7)=24 | | 5(3x-5)+8=15x-17 | | 3x+8(3x-6)=-21 | | 201/2-144/5 | | 7x+11=235 | | 3(2x+4)=x+11 | | 3x+2=3(x+2) | | 7-4+3*0+1=w | | 1/18-1/2X=11/9 | | =(12-2x)*(6-2x)*(x) | | 3x+4/6=5/6 | | 1/8x+9=4 | | 2(a+7)-7= | | (5+8)*n=50+(n/2) | | 9(w-7)-3w=46 | | 3x-11= | | 4(2+v)+34v=10v | | 9x-10=-5x-18 | | -x-5x+12= | | 24-10b= | | m-1.67=1 |

Equations solver categories