-16t^2+30t-1=0

Simple and best practice solution for -16t^2+30t-1=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+30t-1=0 equation: 


Simplifying
-16t2 + 30t + -1 = 0

Reorder the terms:
-1 + 30t + -16t2 = 0

Solving
-1 + 30t + -16t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
0.0625 + -1.875t + t2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + -1.875t + -0.0625 + t2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + -1.875t + t2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + -1.875t + t2 = 0 + -0.0625
-1.875t + t2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
-1.875t + t2 = -0.0625

The t term is -1.875t.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875t + 0.87890625 + t2 = -0.0625 + 0.87890625

Reorder the terms:
0.87890625 + -1.875t + t2 = -0.0625 + 0.87890625

Combine like terms: -0.0625 + 0.87890625 = 0.81640625
0.87890625 + -1.875t + t2 = 0.81640625

Factor a perfect square on the left side:
(t + -0.9375)(t + -0.9375) = 0.81640625

Calculate the square root of the right side: 0.903552018

Break this problem into two subproblems by setting 
(t + -0.9375) equal to 0.903552018 and -0.903552018.


Subproblem 1
t + -0.9375 = 0.903552018

Simplifying
t + -0.9375 = 0.903552018

Reorder the terms:
-0.9375 + t = 0.903552018

Solving
-0.9375 + t = 0.903552018

Solving for variable 't'.

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

Add '0.9375' to each side of the equation.
-0.9375 + 0.9375 + t = 0.903552018 + 0.9375

Combine like terms: -0.9375 + 0.9375 = 0.0000
0.0000 + t = 0.903552018 + 0.9375
t = 0.903552018 + 0.9375

Combine like terms: 0.903552018 + 0.9375 = 1.841052018
t = 1.841052018

Simplifying
t = 1.841052018


Subproblem 2
t + -0.9375 = -0.903552018

Simplifying
t + -0.9375 = -0.903552018

Reorder the terms:
-0.9375 + t = -0.903552018

Solving
-0.9375 + t = -0.903552018

Solving for variable 't'.

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

Add '0.9375' to each side of the equation.
-0.9375 + 0.9375 + t = -0.903552018 + 0.9375

Combine like terms: -0.9375 + 0.9375 = 0.0000
0.0000 + t = -0.903552018 + 0.9375
t = -0.903552018 + 0.9375

Combine like terms: -0.903552018 + 0.9375 = 0.033947982
t = 0.033947982

Simplifying
t = 0.033947982


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {1.841052018, 0.033947982}

See similar equations:

| 2v-v= | | -16t*2+30t-1=0 | | V^2-V^2= | | 15x+11=8x-11 | | 10(s-7)=-134 | | x/8=(x/9)-5 | | 95=x-2L | | 2(3s+5)=82 | | Y=Z/9 | | 3(2l+3)=15 | | ln(5x)=2*ln(2x) | | 4x-7=4+3x | | 7x-(2x-5)=35 | | 72=3x-18 | | 0.06(3t-4)=0.18(t-3)+30 | | 115=9x+16 | | 16x-4y+10z=0 | | -10(s+2)=-59 | | 5(t+3)=-5 | | ((7p)/(7p-1))-((1)/(1-7p)) | | 5x+x-3=6x-3 | | -2/3(-1/4) | | 10tanx+7=0 | | x^3-9x^2+9=0 | | 4(7-2x)= | | 12-5(2)= | | 18x+20=2(7x+6)+4x+8 | | -5(x-4)-(3x-3)=n | | 3u^2-26u-25=0 | | c^5/3 | | 9/8×=100 | | -(5x-20)-(3x-3)=n |

Equations solver categories