0=-16t^2+28t+8

Simple and best practice solution for 0=-16t^2+28t+8 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 0=-16t^2+28t+8 equation: 


Simplifying
0 = -16t2 + 28t + 8

Reorder the terms:
0 = 8 + 28t + -16t2

Solving
0 = 8 + 28t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -8 = -8
-8 + -28t + 16t2 = 8 + 28t + -16t2 + -8 + -28t + 16t2

Reorder the terms:
-8 + -28t + 16t2 = 8 + -8 + 28t + -28t + -16t2 + 16t2

Combine like terms: 8 + -8 = 0
-8 + -28t + 16t2 = 0 + 28t + -28t + -16t2 + 16t2
-8 + -28t + 16t2 = 28t + -28t + -16t2 + 16t2

Combine like terms: 28t + -28t = 0
-8 + -28t + 16t2 = 0 + -16t2 + 16t2
-8 + -28t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-8 + -28t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -7t + 4t2) = 0

Factor a trinomial.
4((-1 + -4t)(2 + -1t)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -4t)' equal to zero and attempt to solve:

Simplifying
-1 + -4t = 0

Solving
-1 + -4t = 0

Move all terms containing t to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -4t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4t = 0 + 1
-4t = 0 + 1

Combine like terms: 0 + 1 = 1
-4t = 1

Divide each side by '-4'.
t = -0.25

Simplifying
t = -0.25

Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 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 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {-0.25, 2}

See similar equations:

| -3(5s-4)-12=-3(7s+6)-4 | | 3x+7x=17+11 | | 30+0.25m=20+0.32m | | 4t^2+7t+2=0 | | y=-4x^2-6x+2 | | (3x-1)-(x+2)=7.389056099 | | -2(4s-6)-12=-3(7s+2)-4 | | 90+3x=180 | | 7x-5=2(5x-5) | | ln(6x+5)=5 | | (5x+9)(5x-9)= | | 0.75n+2=0.25n+1 | | x^3+5x^2-24x=0 | | Y=-8x+1-x^2 | | 130+35+2t+0=x | | 5-7x=54 | | 6(x-70)+50= | | c=xw+x | | -7.5*k+55.2=-15.3 | | 8X^2-2Y^2+32X+4Y+46=0 | | 0.6m+5.4=-1.3+2.6m | | 2x+35=8x | | 120+t+60+15+20=x | | 6x+5=-(x-40) | | 0.5n-3=6 | | 05n-3=6 | | -3m-5=4+6m | | 38=x+-19 | | 7+v(-3)=6+v | | 11g+4-7g=(-20) | | 8f+12=7f+9 | | 28-2.2x=11.6x-54.8 |

Equations solver categories