-16t^2-288t-18=0

Simple and best practice solution for -16t^2-288t-18=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^2-288t-18=0 equation: 


Simplifying
-16t2 + -288t + -18 = 0

Reorder the terms:
-18 + -288t + -16t2 = 0

Solving
-18 + -288t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(9 + 144t + 8t2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(9 + 144t + 8t2)' equal to zero and attempt to solve:

Simplifying
9 + 144t + 8t2 = 0

Solving
9 + 144t + 8t2 = 0

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

Divide each side by '8'.
1.125 + 18t + t2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + 18t + -1.125 + t2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + 18t + t2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + 18t + t2 = 0 + -1.125
18t + t2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
18t + t2 = -1.125

The t term is 18t.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18t + 81 + t2 = -1.125 + 81

Reorder the terms:
81 + 18t + t2 = -1.125 + 81

Combine like terms: -1.125 + 81 = 79.875
81 + 18t + t2 = 79.875

Factor a perfect square on the left side:
(t + 9)(t + 9) = 79.875

Calculate the square root of the right side: 8.937281466

Break this problem into two subproblems by setting 
(t + 9) equal to 8.937281466 and -8.937281466.


Subproblem 1
t + 9 = 8.937281466

Simplifying
t + 9 = 8.937281466

Reorder the terms:
9 + t = 8.937281466

Solving
9 + t = 8.937281466

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + t = 8.937281466 + -9

Combine like terms: 9 + -9 = 0
0 + t = 8.937281466 + -9
t = 8.937281466 + -9

Combine like terms: 8.937281466 + -9 = -0.062718534
t = -0.062718534

Simplifying
t = -0.062718534


Subproblem 2
t + 9 = -8.937281466

Simplifying
t + 9 = -8.937281466

Reorder the terms:
9 + t = -8.937281466

Solving
9 + t = -8.937281466

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + t = -8.937281466 + -9

Combine like terms: 9 + -9 = 0
0 + t = -8.937281466 + -9
t = -8.937281466 + -9

Combine like terms: -8.937281466 + -9 = -17.937281466
t = -17.937281466

Simplifying
t = -17.937281466


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {-0.062718534, -17.937281466}
Solution
t = {-0.062718534, -17.937281466}

See similar equations:

| -8y+4=-3(y+2) | | 6+5y=-4 | | x^2-4-45=0 | | 3(5/3)+5 | | 200+10x=30x | | 3x5/3+5 | | 2(x-1)-5=4x-2(5+x) | | 3/8x=3/8 | | 14(t-3)+4t=6(3t+4)-8 | | 5(z+2)=6z-2 | | -3(y+5)-(-2y-7)=3 | | -2(2s-3)-6=-2(4s+4)-3 | | (6w^2-5w-4)(2w+7)= | | 6z+9=8z-3z | | 2y+y-1.5=5.5 | | w^2-3w-2350=0 | | 1/5x-2=-4/5x+1 | | (-3)=(-3x^2)-4 | | 275x+650y=176200 | | 2+4b=12 | | 2w^2-6w-4700=0 | | f(-3)=(-3x^2)-4 | | 7x-4=3(x+1)+4x-7 | | 7-(4y-6)=1-5y | | x-(x/3)=4 | | 1-5X=2x-6 | | 28=3X+10 | | 16m^2-9/49 | | x-x/3=4 | | 5x-7=8x-4x | | (6w^2y^2+8y^4)/2v^6y^4 | | (6w^2y^2+8y^4)/(2v^6y^4) |

Equations solver categories