470=-16t^2-7t+470

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Solution for 470=-16t^2-7t+470 equation: 


Simplifying
470 = -16t2 + -7t + 470

Reorder the terms:
470 = 470 + -7t + -16t2

Add '-470' to each side of the equation.
470 + -470 = 470 + -7t + -470 + -16t2

Combine like terms: 470 + -470 = 0
0 = 470 + -7t + -470 + -16t2

Reorder the terms:
0 = 470 + -470 + -7t + -16t2

Combine like terms: 470 + -470 = 0
0 = 0 + -7t + -16t2
0 = -7t + -16t2

Solving
0 = -7t + -16t2

Solving for variable 't'.
Remove the zero:
7t + 16t2 = -7t + -16t2 + 7t + 16t2

Reorder the terms:
7t + 16t2 = -7t + 7t + -16t2 + 16t2

Combine like terms: -7t + 7t = 0
7t + 16t2 = 0 + -16t2 + 16t2
7t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
7t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(7 + 16t) = 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 '(7 + 16t)' equal to zero and attempt to solve:

Simplifying
7 + 16t = 0

Solving
7 + 16t = 0

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

Add '-7' to each side of the equation.
7 + -7 + 16t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 16t = 0 + -7
16t = 0 + -7

Combine like terms: 0 + -7 = -7
16t = -7

Divide each side by '16'.
t = -0.4375

Simplifying
t = -0.4375
Solution
t = {0, -0.4375}

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