-16t^2+153t-39=0

Simple and best practice solution for -16t^2+153t-39=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+153t-39=0 equation: 


Simplifying
-16t2 + 153t + -39 = 0

Reorder the terms:
-39 + 153t + -16t2 = 0

Solving
-39 + 153t + -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'.
2.4375 + -9.5625t + t2 = 0

Move the constant term to the right:

Add '-2.4375' to each side of the equation.
2.4375 + -9.5625t + -2.4375 + t2 = 0 + -2.4375

Reorder the terms:
2.4375 + -2.4375 + -9.5625t + t2 = 0 + -2.4375

Combine like terms: 2.4375 + -2.4375 = 0.0000
0.0000 + -9.5625t + t2 = 0 + -2.4375
-9.5625t + t2 = 0 + -2.4375

Combine like terms: 0 + -2.4375 = -2.4375
-9.5625t + t2 = -2.4375

The t term is -9.5625t.  Take half its coefficient (-4.78125).
Square it (22.86035156) and add it to both sides.

Add '22.86035156' to each side of the equation.
-9.5625t + 22.86035156 + t2 = -2.4375 + 22.86035156

Reorder the terms:
22.86035156 + -9.5625t + t2 = -2.4375 + 22.86035156

Combine like terms: -2.4375 + 22.86035156 = 20.42285156
22.86035156 + -9.5625t + t2 = 20.42285156

Factor a perfect square on the left side:
(t + -4.78125)(t + -4.78125) = 20.42285156

Calculate the square root of the right side: 4.519164918

Break this problem into two subproblems by setting 
(t + -4.78125) equal to 4.519164918 and -4.519164918.


Subproblem 1
t + -4.78125 = 4.519164918

Simplifying
t + -4.78125 = 4.519164918

Reorder the terms:
-4.78125 + t = 4.519164918

Solving
-4.78125 + t = 4.519164918

Solving for variable 't'.

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

Add '4.78125' to each side of the equation.
-4.78125 + 4.78125 + t = 4.519164918 + 4.78125

Combine like terms: -4.78125 + 4.78125 = 0.00000
0.00000 + t = 4.519164918 + 4.78125
t = 4.519164918 + 4.78125

Combine like terms: 4.519164918 + 4.78125 = 9.300414918
t = 9.300414918

Simplifying
t = 9.300414918


Subproblem 2
t + -4.78125 = -4.519164918

Simplifying
t + -4.78125 = -4.519164918

Reorder the terms:
-4.78125 + t = -4.519164918

Solving
-4.78125 + t = -4.519164918

Solving for variable 't'.

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

Add '4.78125' to each side of the equation.
-4.78125 + 4.78125 + t = -4.519164918 + 4.78125

Combine like terms: -4.78125 + 4.78125 = 0.00000
0.00000 + t = -4.519164918 + 4.78125
t = -4.519164918 + 4.78125

Combine like terms: -4.519164918 + 4.78125 = 0.262085082
t = 0.262085082

Simplifying
t = 0.262085082


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {9.300414918, 0.262085082}

See similar equations:

| -16x^2+153t-39=0 | | (20-3*(8+4))= | | 5x+17=162 | | (20-3x(8+4))= | | x^2-13x-230=0 | | y+(y^2)=12 | | 90/ | | x^2+x-1190=0 | | 4(x-4)=7x-9-3x | | 2(0)+3x=6 | | 3(x+8)=2x+26 | | 8x+14=-7x-17 | | u^2+31=0 | | 9(x+5)=9(x+9) | | (-3x*3)2= | | 2x-(7x+2)=7-5x | | x^2-x=83 | | (15-6n)^-1/2=1/9 | | 3(3x)-2(5)=60x-500 | | 9(x+6)=9(x+15) | | 9x-10=60x-500 | | .1x+.15x=.12x | | 34=2(x-6) | | x=13200+0.2y | | 3(5+q)= | | 10y(8y+4)=180 | | 2x+10=-6x-20 | | 5y+-1=-2y+4 | | 6x-2=4x+x+10 | | 34x+22y=180 | | 20/240 | | X/.51=10132.8 |

Equations solver categories