=t(t-30)-16t(t*t)

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Solution for =t(t-30)-16t(t*t) equation: 


Simplifying
0 = t(t + -30) + -16t(t * t)

Reorder the terms:
0 = t(-30 + t) + -16t(t * t)
0 = (-30 * t + t * t) + -16t(t * t)
0 = (-30t + t2) + -16t(t * t)

Multiply t * t
0 = -30t + t2 + -16t(t2)

Multiply t * t2
0 = -30t + t2 + -16t3

Solving
0 = -30t + t2 + -16t3

Solving for variable 't'.
Remove the zero:
30t + -1t2 + 16t3 = -30t + t2 + -16t3 + 30t + -1t2 + 16t3

Reorder the terms:
30t + -1t2 + 16t3 = -30t + 30t + t2 + -1t2 + -16t3 + 16t3

Combine like terms: -30t + 30t = 0
30t + -1t2 + 16t3 = 0 + t2 + -1t2 + -16t3 + 16t3
30t + -1t2 + 16t3 = t2 + -1t2 + -16t3 + 16t3

Combine like terms: t2 + -1t2 = 0
30t + -1t2 + 16t3 = 0 + -16t3 + 16t3
30t + -1t2 + 16t3 = -16t3 + 16t3

Combine like terms: -16t3 + 16t3 = 0
30t + -1t2 + 16t3 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(30 + -1t + 16t2) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(30 + -1t + 16t2)' equal to zero and attempt to solve:

Simplifying
30 + -1t + 16t2 = 0

Solving
30 + -1t + 16t2 = 0

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

Divide each side by '16'.
1.875 + -0.0625t + t2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + -0.0625t + -1.875 + t2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + -0.0625t + t2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + -0.0625t + t2 = 0 + -1.875
-0.0625t + t2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
-0.0625t + t2 = -1.875

The t term is -0.0625t.  Take half its coefficient (-0.03125).
Square it (0.0009765625) and add it to both sides.

Add '0.0009765625' to each side of the equation.
-0.0625t + 0.0009765625 + t2 = -1.875 + 0.0009765625

Reorder the terms:
0.0009765625 + -0.0625t + t2 = -1.875 + 0.0009765625

Combine like terms: -1.875 + 0.0009765625 = -1.8740234375
0.0009765625 + -0.0625t + t2 = -1.8740234375

Factor a perfect square on the left side:
(t + -0.03125)(t + -0.03125) = -1.8740234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}

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