t(2t+3)+20=2t(t-3)

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Solution for t(2t+3)+20=2t(t-3) equation:


Simplifying
t(2t + 3) + 20 = 2t(t + -3)

Reorder the terms:
t(3 + 2t) + 20 = 2t(t + -3)
(3 * t + 2t * t) + 20 = 2t(t + -3)
(3t + 2t2) + 20 = 2t(t + -3)

Reorder the terms:
20 + 3t + 2t2 = 2t(t + -3)

Reorder the terms:
20 + 3t + 2t2 = 2t(-3 + t)
20 + 3t + 2t2 = (-3 * 2t + t * 2t)
20 + 3t + 2t2 = (-6t + 2t2)

Add '-2t2' to each side of the equation.
20 + 3t + 2t2 + -2t2 = -6t + 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
20 + 3t + 0 = -6t + 2t2 + -2t2
20 + 3t = -6t + 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
20 + 3t = -6t + 0
20 + 3t = -6t

Solving
20 + 3t = -6t

Solving for variable 't'.

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

Add '6t' to each side of the equation.
20 + 3t + 6t = -6t + 6t

Combine like terms: 3t + 6t = 9t
20 + 9t = -6t + 6t

Combine like terms: -6t + 6t = 0
20 + 9t = 0

Add '-20' to each side of the equation.
20 + -20 + 9t = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 9t = 0 + -20
9t = 0 + -20

Combine like terms: 0 + -20 = -20
9t = -20

Divide each side by '9'.
t = -2.222222222

Simplifying
t = -2.222222222

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