-16t^2+20t+4=0

Simple and best practice solution for -16t^2+20t+4=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+20t+4=0 equation: 


Simplifying
-16t2 + 20t + 4 = 0

Reorder the terms:
4 + 20t + -16t2 = 0

Solving
4 + 20t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 5t + -4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + 5t + -4t2)' equal to zero and attempt to solve:

Simplifying
1 + 5t + -4t2 = 0

Solving
1 + 5t + -4t2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
-0.25 + -1.25t + t2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -1.25t + 0.25 + t2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -1.25t + t2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -1.25t + t2 = 0 + 0.25
-1.25t + t2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-1.25t + t2 = 0.25

The t term is -1.25t.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25t + 0.390625 + t2 = 0.25 + 0.390625

Reorder the terms:
0.390625 + -1.25t + t2 = 0.25 + 0.390625

Combine like terms: 0.25 + 0.390625 = 0.640625
0.390625 + -1.25t + t2 = 0.640625

Factor a perfect square on the left side:
(t + -0.625)(t + -0.625) = 0.640625

Calculate the square root of the right side: 0.80039053

Break this problem into two subproblems by setting 
(t + -0.625) equal to 0.80039053 and -0.80039053.


Subproblem 1
t + -0.625 = 0.80039053

Simplifying
t + -0.625 = 0.80039053

Reorder the terms:
-0.625 + t = 0.80039053

Solving
-0.625 + t = 0.80039053

Solving for variable 't'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + t = 0.80039053 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + t = 0.80039053 + 0.625
t = 0.80039053 + 0.625

Combine like terms: 0.80039053 + 0.625 = 1.42539053
t = 1.42539053

Simplifying
t = 1.42539053


Subproblem 2
t + -0.625 = -0.80039053

Simplifying
t + -0.625 = -0.80039053

Reorder the terms:
-0.625 + t = -0.80039053

Solving
-0.625 + t = -0.80039053

Solving for variable 't'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + t = -0.80039053 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + t = -0.80039053 + 0.625
t = -0.80039053 + 0.625

Combine like terms: -0.80039053 + 0.625 = -0.17539053
t = -0.17539053

Simplifying
t = -0.17539053


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {1.42539053, -0.17539053}
Solution
t = {1.42539053, -0.17539053}

See similar equations:

| z/10-4=10 | | -1/X=0 | | a^2+21a-540=0 | | (45x+54y)+(-2x+33y)= | | 4x-2/2=-3 | | -u/12=12 | | -7+|-5|= | | x-0.08x=1700 | | 18+6x-12=-8-4x+9x | | (9x^(1/2))^2 | | 14z-7/7 | | 2*B+3*A=5 | | (14x-27y)+(32x+65y)= | | 5/6x^2*3/6x^2 | | 3(x-4)=12x-4-9x | | 2x^3-15x^2+24x+12=0 | | (50x-8y)+(32x+37y)= | | 24+x=-18 | | -3x^2-12x+1=0 | | 28=w(2w-1) | | (x-2)(x+4)=14 | | x^2+x-36= | | 12c+5=c+31 | | 35x+-14=36x+-6 | | -18=x+20 | | 36x-14=36x-6 | | -22=11(2c-8) | | |-14|= | | (22-18)x(3+8)= | | x-24=6 | | 2(2)+3(4a)-4(3+3a)+3=0 | | 3y-24-6y+37= |

Equations solver categories