(m-2)t^2-3t-9=0

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Solution for (m-2)t^2-3t-9=0 equation:


Simplifying
(m + -2) * t2 + -3t + -9 = 0

Reorder the terms:
(-2 + m) * t2 + -3t + -9 = 0

Reorder the terms for easier multiplication:
t2(-2 + m) + -3t + -9 = 0
(-2 * t2 + m * t2) + -3t + -9 = 0

Reorder the terms:
(mt2 + -2t2) + -3t + -9 = 0
(mt2 + -2t2) + -3t + -9 = 0

Reorder the terms:
-9 + mt2 + -3t + -2t2 = 0

Solving
-9 + mt2 + -3t + -2t2 = 0

Solving for variable 'm'.

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

Add '9' to each side of the equation.
-9 + mt2 + -3t + 9 + -2t2 = 0 + 9

Reorder the terms:
-9 + 9 + mt2 + -3t + -2t2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + mt2 + -3t + -2t2 = 0 + 9
mt2 + -3t + -2t2 = 0 + 9

Combine like terms: 0 + 9 = 9
mt2 + -3t + -2t2 = 9

Add '3t' to each side of the equation.
mt2 + -3t + 3t + -2t2 = 9 + 3t

Combine like terms: -3t + 3t = 0
mt2 + 0 + -2t2 = 9 + 3t
mt2 + -2t2 = 9 + 3t

Add '2t2' to each side of the equation.
mt2 + -2t2 + 2t2 = 9 + 3t + 2t2

Combine like terms: -2t2 + 2t2 = 0
mt2 + 0 = 9 + 3t + 2t2
mt2 = 9 + 3t + 2t2

Divide each side by 't2'.
m = 9t-2 + 3t-1 + 2

Simplifying
m = 9t-2 + 3t-1 + 2

Reorder the terms:
m = 2 + 9t-2 + 3t-1

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