0=1280-32t-16t^2

Simple and best practice solution for 0=1280-32t-16t^2 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=1280-32t-16t^2 equation: 


Simplifying
0 = 1280 + -32t + -16t2

Solving
0 = 1280 + -32t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -1280 = -1280
-1280 + 32t + 16t2 = 1280 + -32t + -16t2 + -1280 + 32t + 16t2

Reorder the terms:
-1280 + 32t + 16t2 = 1280 + -1280 + -32t + 32t + -16t2 + 16t2

Combine like terms: 1280 + -1280 = 0
-1280 + 32t + 16t2 = 0 + -32t + 32t + -16t2 + 16t2
-1280 + 32t + 16t2 = -32t + 32t + -16t2 + 16t2

Combine like terms: -32t + 32t = 0
-1280 + 32t + 16t2 = 0 + -16t2 + 16t2
-1280 + 32t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-1280 + 32t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-80 + 2t + t2) = 0

Factor a trinomial.
16((-10 + -1t)(8 + -1t)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-10 + -1t)' equal to zero and attempt to solve:

Simplifying
-10 + -1t = 0

Solving
-10 + -1t = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1t = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1t = 0 + 10
-1t = 0 + 10

Combine like terms: 0 + 10 = 10
-1t = 10

Divide each side by '-1'.
t = -10

Simplifying
t = -10

Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Solution
t = {-10, 8}

See similar equations:

| 25x+10-4x-12=40 | | 13*2x=3 | | 8-3*2= | | 10+7=27 | | 13*2x= | | 5a+5-10=x | | 15:(-5)*3= | | 5+g=6(g-2) | | 25x+10-4x+15=2 | | -0.75s=0.25 | | -3y=-4x+12 | | 5x=(6+5)20 | | (3-x)/(3x^2) | | 8x+(-5y)+(-2x)+3Y= | | 52=2y | | 10p+6=6p+22 | | a+2b=18 | | u/6=96 | | 5(x+9)=9x+6-4x+39 | | 3e^5=3 | | 7x+11=88 | | 5v=65 | | 3x+2x=10-30 | | 6x+3=147 | | 12a-7*2b+-3= | | 45-4y=8 | | 9(5)-4y=8 | | 0.01n+-1.5=0.009 | | 0.01n-105=0.009 | | x+(x+25)x-26=25+26 | | 2xd=4 | | 3y-35=10y |

Equations solver categories