75=16t^2+88t+3

Simple and best practice solution for 75=16t^2+88t+3 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 75=16t^2+88t+3 equation:


Simplifying
75 = 16t2 + 88t + 3

Reorder the terms:
75 = 3 + 88t + 16t2

Solving
75 = 3 + 88t + 16t2

Solving for variable 't'.

Combine like terms: 75 + -3 = 72
72 + -88t + -16t2 = 3 + 88t + 16t2 + -3 + -88t + -16t2

Reorder the terms:
72 + -88t + -16t2 = 3 + -3 + 88t + -88t + 16t2 + -16t2

Combine like terms: 3 + -3 = 0
72 + -88t + -16t2 = 0 + 88t + -88t + 16t2 + -16t2
72 + -88t + -16t2 = 88t + -88t + 16t2 + -16t2

Combine like terms: 88t + -88t = 0
72 + -88t + -16t2 = 0 + 16t2 + -16t2
72 + -88t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
72 + -88t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + -11t + -2t2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(9 + -11t + -2t2)' equal to zero and attempt to solve:

Simplifying
9 + -11t + -2t2 = 0

Solving
9 + -11t + -2t2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-4.5 + 5.5t + t2 = 0

Move the constant term to the right:

Add '4.5' to each side of the equation.
-4.5 + 5.5t + 4.5 + t2 = 0 + 4.5

Reorder the terms:
-4.5 + 4.5 + 5.5t + t2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 5.5t + t2 = 0 + 4.5
5.5t + t2 = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
5.5t + t2 = 4.5

The t term is 5.5t.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5t + 7.5625 + t2 = 4.5 + 7.5625

Reorder the terms:
7.5625 + 5.5t + t2 = 4.5 + 7.5625

Combine like terms: 4.5 + 7.5625 = 12.0625
7.5625 + 5.5t + t2 = 12.0625

Factor a perfect square on the left side:
(t + 2.75)(t + 2.75) = 12.0625

Calculate the square root of the right side: 3.473110997

Break this problem into two subproblems by setting 
(t + 2.75) equal to 3.473110997 and -3.473110997.


Subproblem 1
t + 2.75 = 3.473110997

Simplifying
t + 2.75 = 3.473110997

Reorder the terms:
2.75 + t = 3.473110997

Solving
2.75 + t = 3.473110997

Solving for variable 't'.

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

Add '-2.75' to each side of the equation.
2.75 + -2.75 + t = 3.473110997 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + t = 3.473110997 + -2.75
t = 3.473110997 + -2.75

Combine like terms: 3.473110997 + -2.75 = 0.723110997
t = 0.723110997

Simplifying
t = 0.723110997


Subproblem 2
t + 2.75 = -3.473110997

Simplifying
t + 2.75 = -3.473110997

Reorder the terms:
2.75 + t = -3.473110997

Solving
2.75 + t = -3.473110997

Solving for variable 't'.

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

Add '-2.75' to each side of the equation.
2.75 + -2.75 + t = -3.473110997 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + t = -3.473110997 + -2.75
t = -3.473110997 + -2.75

Combine like terms: -3.473110997 + -2.75 = -6.223110997
t = -6.223110997

Simplifying
t = -6.223110997


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.723110997, -6.223110997}
Solution
t = {0.723110997, -6.223110997}

See similar equations:

| h=16t^2+88t+3 | | x+65=5x | | 16x^2-49x=0 | | x+42+5x=2x | | 6(6a-11)=150 | | 6x+42=10x | | y-6=1x | | x+3=what | | Sinx-3=0 | | 81-1=-2 | | x+32=7 | | 10x+42=5x | | X-3=-11+5x | | 22x+44=6x+17 | | x-8=-20+2x | | 32x+70=17x-95 | | 6x-17=2(3x-5) | | -23=3a-10-a | | 8x+7y=434 | | X^5+4x=5x^3 | | 10-2h=4(1-h) | | 2x+20=7x-30 | | h+16=5 | | Y=100(0.78) | | 6(-1+n)=-72 | | 21+23x=42+16x | | h(t)=-16t^2+50t+4 | | 3k=5k-11 | | 4x+10=7x-30 | | -15b=-5 | | 2x+x=1250 | | 6x^2+6x=12 |

Equations solver categories