7=7+17t-16t^2

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Solution for 7=7+17t-16t^2 equation:


Simplifying
7 = 7 + 17t + -16t2

Add '-7' to each side of the equation.
7 + -7 = 7 + 17t + -7 + -16t2

Combine like terms: 7 + -7 = 0
0 = 7 + 17t + -7 + -16t2

Reorder the terms:
0 = 7 + -7 + 17t + -16t2

Combine like terms: 7 + -7 = 0
0 = 0 + 17t + -16t2
0 = 17t + -16t2

Solving
0 = 17t + -16t2

Solving for variable 't'.
Remove the zero:
-17t + 16t2 = 17t + -16t2 + -17t + 16t2

Reorder the terms:
-17t + 16t2 = 17t + -17t + -16t2 + 16t2

Combine like terms: 17t + -17t = 0
-17t + 16t2 = 0 + -16t2 + 16t2
-17t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-17t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-17 + 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 '(-17 + 16t)' equal to zero and attempt to solve: Simplifying -17 + 16t = 0 Solving -17 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 16t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 16t = 0 + 17 16t = 0 + 17 Combine like terms: 0 + 17 = 17 16t = 17 Divide each side by '16'. t = 1.0625 Simplifying t = 1.0625

Solution

t = {0, 1.0625}

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