(t+2)2+(t-3)2=9

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Solution for (t+2)2+(t-3)2=9 equation:


Simplifying
(t + 2) * 2 + (t + -3) * 2 = 9

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

Reorder the terms for easier multiplication:
2(2 + t) + (t + -3) * 2 = 9
(2 * 2 + t * 2) + (t + -3) * 2 = 9
(4 + 2t) + (t + -3) * 2 = 9

Reorder the terms:
4 + 2t + (-3 + t) * 2 = 9

Reorder the terms for easier multiplication:
4 + 2t + 2(-3 + t) = 9
4 + 2t + (-3 * 2 + t * 2) = 9
4 + 2t + (-6 + 2t) = 9

Reorder the terms:
4 + -6 + 2t + 2t = 9

Combine like terms: 4 + -6 = -2
-2 + 2t + 2t = 9

Combine like terms: 2t + 2t = 4t
-2 + 4t = 9

Solving
-2 + 4t = 9

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + 4t = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 4t = 9 + 2
4t = 9 + 2

Combine like terms: 9 + 2 = 11
4t = 11

Divide each side by '4'.
t = 2.75

Simplifying
t = 2.75

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