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Simplifying
20 + 5t + -3t2 = 5(t + 2)
Reorder the terms:
20 + 5t + -3t2 = 5(2 + t)
20 + 5t + -3t2 = (2 * 5 + t * 5)
20 + 5t + -3t2 = (10 + 5t)
Add '-5t' to each side of the equation.
20 + 5t + -5t + -3t2 = 10 + 5t + -5t
Combine like terms: 5t + -5t = 0
20 + 0 + -3t2 = 10 + 5t + -5t
20 + -3t2 = 10 + 5t + -5t
Combine like terms: 5t + -5t = 0
20 + -3t2 = 10 + 0
20 + -3t2 = 10
Solving
20 + -3t2 = 10
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + -3t2 = 10 + -20
Combine like terms: 20 + -20 = 0
0 + -3t2 = 10 + -20
-3t2 = 10 + -20
Combine like terms: 10 + -20 = -10
-3t2 = -10
Divide each side by '-3'.
t2 = 3.333333333
Simplifying
t2 = 3.333333333
Take the square root of each side:
t = {-1.825741858, 1.825741858}
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