20-16t(16t)+32t=t

Simple and best practice solution for 20-16t(16t)+32t=t 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 20-16t(16t)+32t=t equation:


Simplifying
20 + -16t(16t) + 32t = t

Remove parenthesis around (16t)
20 + -16t * 16t + 32t = t

Reorder the terms for easier multiplication:
20 + -16 * 16t * t + 32t = t

Multiply -16 * 16
20 + -256t * t + 32t = t

Multiply t * t
20 + -256t2 + 32t = t

Reorder the terms:
20 + 32t + -256t2 = t

Solving
20 + 32t + -256t2 = t

Solving for variable 't'.

Reorder the terms:
20 + 32t + -1t + -256t2 = t + -1t

Combine like terms: 32t + -1t = 31t
20 + 31t + -256t2 = t + -1t

Combine like terms: t + -1t = 0
20 + 31t + -256t2 = 0

Begin completing the square.  Divide all terms by
-256 the coefficient of the squared term: 

Divide each side by '-256'.
-0.078125 + -0.12109375t + t2 = 0

Move the constant term to the right:

Add '0.078125' to each side of the equation.
-0.078125 + -0.12109375t + 0.078125 + t2 = 0 + 0.078125

Reorder the terms:
-0.078125 + 0.078125 + -0.12109375t + t2 = 0 + 0.078125

Combine like terms: -0.078125 + 0.078125 = 0.000000
0.000000 + -0.12109375t + t2 = 0 + 0.078125
-0.12109375t + t2 = 0 + 0.078125

Combine like terms: 0 + 0.078125 = 0.078125
-0.12109375t + t2 = 0.078125

The t term is -0.12109375t.  Take half its coefficient (-0.060546875).
Square it (0.003665924072) and add it to both sides.

Add '0.003665924072' to each side of the equation.
-0.12109375t + 0.003665924072 + t2 = 0.078125 + 0.003665924072

Reorder the terms:
0.003665924072 + -0.12109375t + t2 = 0.078125 + 0.003665924072

Combine like terms: 0.078125 + 0.003665924072 = 0.081790924072
0.003665924072 + -0.12109375t + t2 = 0.081790924072

Factor a perfect square on the left side:
(t + -0.060546875)(t + -0.060546875) = 0.081790924072

Calculate the square root of the right side: 0.285991126

Break this problem into two subproblems by setting 
(t + -0.060546875) equal to 0.285991126 and -0.285991126.

Subproblem 1

t + -0.060546875 = 0.285991126 Simplifying t + -0.060546875 = 0.285991126 Reorder the terms: -0.060546875 + t = 0.285991126 Solving -0.060546875 + t = 0.285991126 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.060546875' to each side of the equation. -0.060546875 + 0.060546875 + t = 0.285991126 + 0.060546875 Combine like terms: -0.060546875 + 0.060546875 = 0.000000000 0.000000000 + t = 0.285991126 + 0.060546875 t = 0.285991126 + 0.060546875 Combine like terms: 0.285991126 + 0.060546875 = 0.346538001 t = 0.346538001 Simplifying t = 0.346538001

Subproblem 2

t + -0.060546875 = -0.285991126 Simplifying t + -0.060546875 = -0.285991126 Reorder the terms: -0.060546875 + t = -0.285991126 Solving -0.060546875 + t = -0.285991126 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.060546875' to each side of the equation. -0.060546875 + 0.060546875 + t = -0.285991126 + 0.060546875 Combine like terms: -0.060546875 + 0.060546875 = 0.000000000 0.000000000 + t = -0.285991126 + 0.060546875 t = -0.285991126 + 0.060546875 Combine like terms: -0.285991126 + 0.060546875 = -0.225444251 t = -0.225444251 Simplifying t = -0.225444251

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.346538001, -0.225444251}

See similar equations:

| n-3/4=-2.75 | | 20-16t(16t)+32t= | | 5m+13=-52+4m | | 7x^2-2x+5=0 | | 20m=5 | | 1.203125=11/8v | | 1.203125=11/8v | | 3(2x-5)=7x-15 | | -7/16=x-3/16 | | w/3=-4 | | k-12/30=6/30 | | x/2+3x/4-5x/6=15 | | -2x^2-5x+63=0 | | 3x-2(x-9)=4+2x | | 4(a-1)=2a+8 | | 2x^2-5x+63=0 | | 2a=60+5a | | 3(x+4)=4+x | | 9-2x+6x=37 | | 1,13/64=11/8v | | 11/8x=36 | | 113/64=11/8v | | 2x-4=5x-25 | | 10n=12 | | prt=a | | -15c=-33 | | X^2+2x+4=44 | | 3x+67+17=x+50 | | 8/35=4n/7 | | 3(-6b-5)-3b=111 | | 3m^2+4m-15=0 | | 3-(-6b-5)-3b=111 |

Equations solver categories