-16t^2+40t+0=150

Simple and best practice solution for -16t^2+40t+0=150 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 -16t^2+40t+0=150 equation: 


Simplifying
-16t2 + 40t + 0 = 150

Reorder the terms:
0 + 40t + -16t2 = 150
Remove the zero:
40t + -16t2 = 150

Solving
40t + -16t2 = 150

Solving for variable 't'.

Reorder the terms:
-150 + 40t + -16t2 = 150 + -150

Combine like terms: 150 + -150 = 0
-150 + 40t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-75 + 20t + -8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-75 + 20t + -8t2)' equal to zero and attempt to solve:

Simplifying
-75 + 20t + -8t2 = 0

Solving
-75 + 20t + -8t2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
9.375 + -2.5t + t2 = 0

Move the constant term to the right:

Add '-9.375' to each side of the equation.
9.375 + -2.5t + -9.375 + t2 = 0 + -9.375

Reorder the terms:
9.375 + -9.375 + -2.5t + t2 = 0 + -9.375

Combine like terms: 9.375 + -9.375 = 0.000
0.000 + -2.5t + t2 = 0 + -9.375
-2.5t + t2 = 0 + -9.375

Combine like terms: 0 + -9.375 = -9.375
-2.5t + t2 = -9.375

The t term is -2.5t.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5t + 1.5625 + t2 = -9.375 + 1.5625

Reorder the terms:
1.5625 + -2.5t + t2 = -9.375 + 1.5625

Combine like terms: -9.375 + 1.5625 = -7.8125
1.5625 + -2.5t + t2 = -7.8125

Factor a perfect square on the left side:
(t + -1.25)(t + -1.25) = -7.8125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| -5+5(x-2)=3(6x-2x)-4 | | 243x^2-192=0 | | 45=-10x-5 | | ((4x^5y)/(20xy^5))^3 | | -2.1x=-14.7 | | A/4=1/12 | | 2/3x-4/3=10 | | -7(-1-5n)=6(7+5n) | | -5=y/4 | | 4x-3x=5(8x+3)+7(-7x-5) | | 7+5x=2x+3 | | 4/12=2/8y | | 19x^2-2x+7=0 | | x/2=10/5 | | 1=-7(v-8)+6(5+4v) | | 11.2+x-7.3=4.7 | | 5a+18=2a+6 | | -28=2-3x | | 18=3(4n-3)+3(8n-7) | | 36=W/2 | | 3(x-6)=22-5x | | 66.6666666666666666x-0.5=3.5 | | 4-32r+5+30r=11 | | -16t^2+40t+175=0 | | -180=-15v | | 4/5x-x=×/15-8/3 | | 1/7w=14 | | 1/30-1/6=x-6/5 | | 96=Y/4 | | 3x-15+68=180 | | y+1(9+24)-28=11 | | V-5/2=-1 |

Equations solver categories