96=-16t^2+120t+96

Simple and best practice solution for 96=-16t^2+120t+96 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 96=-16t^2+120t+96 equation:


Simplifying
96 = -16t2 + 120t + 96

Reorder the terms:
96 = 96 + 120t + -16t2

Add '-96' to each side of the equation.
96 + -96 = 96 + 120t + -96 + -16t2

Combine like terms: 96 + -96 = 0
0 = 96 + 120t + -96 + -16t2

Reorder the terms:
0 = 96 + -96 + 120t + -16t2

Combine like terms: 96 + -96 = 0
0 = 0 + 120t + -16t2
0 = 120t + -16t2

Solving
0 = 120t + -16t2

Solving for variable 't'.
Remove the zero:
-120t + 16t2 = 120t + -16t2 + -120t + 16t2

Reorder the terms:
-120t + 16t2 = 120t + -120t + -16t2 + 16t2

Combine like terms: 120t + -120t = 0
-120t + 16t2 = 0 + -16t2 + 16t2
-120t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-120t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '8t'.
8t(-15 + 2t) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(-15 + 2t)' equal to zero and attempt to solve: Simplifying -15 + 2t = 0 Solving -15 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2t = 0 + 15 2t = 0 + 15 Combine like terms: 0 + 15 = 15 2t = 15 Divide each side by '2'. t = 7.5 Simplifying t = 7.5

Solution

t = {0, 7.5}

See similar equations:

| 3(2x-5)+x=6 | | 8x-9=2x+27 | | -5(a-1)+2(3a+4)=10a-3(2a+5) | | -18y^2-9y+5=0 | | T*8=46 | | 1.5xX-2.5=3.5xX+13.7 | | Z*9=54 | | 9(v-4)=3v+18 | | 6(v-2)-8v=-4 | | 4(6z-1)-3(z+4)=16(z+1) | | N=0.04x-79.06 | | (x+1)(x^3+7x^2+5x+4)= | | 10t=-22 | | x-27=-26 | | -3(4y-5)+2(2y+6)= | | 20a^2b^2-5a^4b^4= | | -3(t-9)-(t+7)=9 | | -4(x+6)= | | 6+5y=17 | | 22x-11=(x+5)(x+5) | | 3[2x-3(7x+y)]= | | 4a+5b=-6 | | -3x-1+7x+3= | | -y=60 | | (x-1)(x-1)=7x | | 5m=9 | | 2x+3=10x+21 | | ln(7x-13)=5 | | T*9=81 | | 13x+9-3=12x-2 | | 18x-18x=2 | | h=-16t^2+18t+2 |

Equations solver categories