0=-16t^2+70t+50

Simple and best practice solution for 0=-16t^2+70t+50 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+70t+50 equation: 


Simplifying
0 = -16t2 + 70t + 50

Reorder the terms:
0 = 50 + 70t + -16t2

Solving
0 = 50 + 70t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -50 = -50
-50 + -70t + 16t2 = 50 + 70t + -16t2 + -50 + -70t + 16t2

Reorder the terms:
-50 + -70t + 16t2 = 50 + -50 + 70t + -70t + -16t2 + 16t2

Combine like terms: 50 + -50 = 0
-50 + -70t + 16t2 = 0 + 70t + -70t + -16t2 + 16t2
-50 + -70t + 16t2 = 70t + -70t + -16t2 + 16t2

Combine like terms: 70t + -70t = 0
-50 + -70t + 16t2 = 0 + -16t2 + 16t2
-50 + -70t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-50 + -70t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + -35t + 8t2) = 0

Factor a trinomial.
2((-5 + -8t)(5 + -1t)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -8t)' equal to zero and attempt to solve:

Simplifying
-5 + -8t = 0

Solving
-5 + -8t = 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 + -8t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8t = 0 + 5
-8t = 0 + 5

Combine like terms: 0 + 5 = 5
-8t = 5

Divide each side by '-8'.
t = -0.625

Simplifying
t = -0.625

Subproblem 2
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
Solution
t = {-0.625, 5}

See similar equations:

| 3x+5=14-5x | | 1/3+2(1/3+5)=12 | | Solve1/4x=3/8 | | 6b-4(26+8)=16 | | (x-2)(x+5)=(x-3)(x+8) | | 2-19=8x-3-7x | | 8x+1-3x-5=-19 | | x(x+1)-(x+(x+1))=71 | | 4x-4x=-18 | | 14x-4x=-18 | | 8(3t-2)=7(7t-1) | | 5(d+4)=3(d-2) | | 5(d+4)=3(x-2) | | X^2+4x+4=20 | | -2/9*3= | | 6x-28x+10(x+4)-14= | | 12/y+16/y=4 | | 0=-16t^2+10t+4 | | -1/9*3= | | (4x-8)=x+1 | | f+1/4=78 | | 231/2x17 | | a/6+7=12 | | 252=-16t^2+14+288 | | 5+5*(5*5)= | | 4x+5-2x=7+3x-9 | | y/-5+10=35 | | -5a-10=35 | | y(6y-42)-9(6y-42)=0 | | -5d+10=35 | | y-(-5)=35 | | y+(-5)=35 |

Equations solver categories