5t^2=11t+12

Simple and best practice solution for 5t^2=11t+12 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 5t^2=11t+12 equation:


Simplifying
5t2 = 11t + 12

Reorder the terms:
5t2 = 12 + 11t

Solving
5t2 = 12 + 11t

Solving for variable 't'.

Reorder the terms:
-12 + -11t + 5t2 = 12 + 11t + -12 + -11t

Reorder the terms:
-12 + -11t + 5t2 = 12 + -12 + 11t + -11t

Combine like terms: 12 + -12 = 0
-12 + -11t + 5t2 = 0 + 11t + -11t
-12 + -11t + 5t2 = 11t + -11t

Combine like terms: 11t + -11t = 0
-12 + -11t + 5t2 = 0

Factor a trinomial.
(-4 + -5t)(3 + -1t) = 0

Subproblem 1

Set the factor '(-4 + -5t)' equal to zero and attempt to solve: Simplifying -4 + -5t = 0 Solving -4 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5t = 0 + 4 -5t = 0 + 4 Combine like terms: 0 + 4 = 4 -5t = 4 Divide each side by '-5'. t = -0.8 Simplifying t = -0.8

Subproblem 2

Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3

Solution

t = {-0.8, 3}

See similar equations:

| 2(x+4)=3(x-5) | | 6.7x-3.3=23.5 | | 2.4-0.3=0.4(x-1) | | 4x-5=3x+8 | | x^4+8x^3+4x^2=0 | | -3(4n+2)=3 | | 4u-26=-6(u-4) | | 5m=3 | | -5(x-6)=6x-14 | | 8x+6=8x+6 | | x-.17x=19 | | -6v-20=-4(v+6) | | 9w-30=5w-6 | | 6(x+1)+5=3x+3(5+x) | | 9x+27=-7 | | 56x^2-15x-56=0 | | 6+4(x-1)=8-3(x-5) | | 7-4x=21+3x | | 31x+29=4(6x+9)+7x-7 | | 9x^5+6x^4-3x^3=0 | | -3y-13=8y+9 | | 8y^3-64=0 | | 2x+6+5x+5=6x+18 | | -5x+6=-12x+62 | | -2(x+3)-8=-14 | | x^3-x^2+4x-3=0 | | 19w-4w+23=8w-19 | | H=16t^2+56t+18 | | 2x+5=4x+13 | | (90-x)+180-(90-x)=160 | | 8w-11=6w-5 | | (90-x)+(180-(90-x))=160 |

Equations solver categories