-16t^2+90t+2=0

Simple and best practice solution for -16t^2+90t+2=0 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+90t+2=0 equation: 


Simplifying
-16t2 + 90t + 2 = 0

Reorder the terms:
2 + 90t + -16t2 = 0

Solving
2 + 90t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 45t + -8t2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 45t + -8t2)' equal to zero and attempt to solve:

Simplifying
1 + 45t + -8t2 = 0

Solving
1 + 45t + -8t2 = 0

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

Divide each side by '-8'.
-0.125 + -5.625t + t2 = 0

Move the constant term to the right:

Add '0.125' to each side of the equation.
-0.125 + -5.625t + 0.125 + t2 = 0 + 0.125

Reorder the terms:
-0.125 + 0.125 + -5.625t + t2 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + -5.625t + t2 = 0 + 0.125
-5.625t + t2 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
-5.625t + t2 = 0.125

The t term is -5.625t.  Take half its coefficient (-2.8125).
Square it (7.91015625) and add it to both sides.

Add '7.91015625' to each side of the equation.
-5.625t + 7.91015625 + t2 = 0.125 + 7.91015625

Reorder the terms:
7.91015625 + -5.625t + t2 = 0.125 + 7.91015625

Combine like terms: 0.125 + 7.91015625 = 8.03515625
7.91015625 + -5.625t + t2 = 8.03515625

Factor a perfect square on the left side:
(t + -2.8125)(t + -2.8125) = 8.03515625

Calculate the square root of the right side: 2.834635118

Break this problem into two subproblems by setting 
(t + -2.8125) equal to 2.834635118 and -2.834635118.


Subproblem 1
t + -2.8125 = 2.834635118

Simplifying
t + -2.8125 = 2.834635118

Reorder the terms:
-2.8125 + t = 2.834635118

Solving
-2.8125 + t = 2.834635118

Solving for variable 't'.

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

Add '2.8125' to each side of the equation.
-2.8125 + 2.8125 + t = 2.834635118 + 2.8125

Combine like terms: -2.8125 + 2.8125 = 0.0000
0.0000 + t = 2.834635118 + 2.8125
t = 2.834635118 + 2.8125

Combine like terms: 2.834635118 + 2.8125 = 5.647135118
t = 5.647135118

Simplifying
t = 5.647135118


Subproblem 2
t + -2.8125 = -2.834635118

Simplifying
t + -2.8125 = -2.834635118

Reorder the terms:
-2.8125 + t = -2.834635118

Solving
-2.8125 + t = -2.834635118

Solving for variable 't'.

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

Add '2.8125' to each side of the equation.
-2.8125 + 2.8125 + t = -2.834635118 + 2.8125

Combine like terms: -2.8125 + 2.8125 = 0.0000
0.0000 + t = -2.834635118 + 2.8125
t = -2.834635118 + 2.8125

Combine like terms: -2.834635118 + 2.8125 = -0.022135118
t = -0.022135118

Simplifying
t = -0.022135118


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {5.647135118, -0.022135118}
Solution
t = {5.647135118, -0.022135118}

See similar equations:

| 5x+23y(x-3)=57 | | 7t+3=11 | | -4x+12=6x+30 | | -2(-2x+3)=4x | | -10+3(7-7a)= | | 3n+10n= | | x/2-12=-3+x | | (x+5)(2x-7)=0 | | 7k^2-(5k^2-4k+8)= | | 4u^2-12u-112=0 | | 5x-20=15+4x | | 4=40+2t-5t^2 | | 8x^3-12x^2+24x= | | 5-3x=2x^2 | | 4y+6y=2y+28 | | 4y+6y-2y=36 | | v^3=-18 | | v^3=18 | | 5.5(h-5.5)=18.18 | | 5(3+-2)=-3(7-t) | | 3(3y-1)-2(y-2)=4(y+3) | | -4k+8=12-5k | | 2.8(5-t)=7 | | 9-(3r-1)=12 | | 4(4x-9y)+8(3z+2y)= | | 4n+1=-2n+8 | | (x^4)+6=0 | | 2(-7)-9= | | 11x+15y=6888 | | x+5x=9 | | 2(k-5)=2(5x-8) | | x-5x=90 |

Equations solver categories