325=-15t^2+150t+10

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Solution for 325=-15t^2+150t+10 equation: 


Simplifying
325 = -15t2 + 150t + 10

Reorder the terms:
325 = 10 + 150t + -15t2

Solving
325 = 10 + 150t + -15t2

Solving for variable 't'.

Combine like terms: 325 + -10 = 315
315 + -150t + 15t2 = 10 + 150t + -15t2 + -10 + -150t + 15t2

Reorder the terms:
315 + -150t + 15t2 = 10 + -10 + 150t + -150t + -15t2 + 15t2

Combine like terms: 10 + -10 = 0
315 + -150t + 15t2 = 0 + 150t + -150t + -15t2 + 15t2
315 + -150t + 15t2 = 150t + -150t + -15t2 + 15t2

Combine like terms: 150t + -150t = 0
315 + -150t + 15t2 = 0 + -15t2 + 15t2
315 + -150t + 15t2 = -15t2 + 15t2

Combine like terms: -15t2 + 15t2 = 0
315 + -150t + 15t2 = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(21 + -10t + t2) = 0

Factor a trinomial.
15((3 + -1t)(7 + -1t)) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3

Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve:

Simplifying
7 + -1t = 0

Solving
7 + -1t = 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 + -1t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1t = 0 + -7
-1t = 0 + -7

Combine like terms: 0 + -7 = -7
-1t = -7

Divide each side by '-1'.
t = 7

Simplifying
t = 7
Solution
t = {3, 7}

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