(t+5)(t+5)=(t-3)(t-3)

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Solution for (t+5)(t+5)=(t-3)(t-3) equation:


Simplifying
(t + 5)(t + 5) = (t + -3)(t + -3)

Reorder the terms:
(5 + t)(t + 5) = (t + -3)(t + -3)

Reorder the terms:
(5 + t)(5 + t) = (t + -3)(t + -3)

Multiply (5 + t) * (5 + t)
(5(5 + t) + t(5 + t)) = (t + -3)(t + -3)
((5 * 5 + t * 5) + t(5 + t)) = (t + -3)(t + -3)
((25 + 5t) + t(5 + t)) = (t + -3)(t + -3)
(25 + 5t + (5 * t + t * t)) = (t + -3)(t + -3)
(25 + 5t + (5t + t2)) = (t + -3)(t + -3)

Combine like terms: 5t + 5t = 10t
(25 + 10t + t2) = (t + -3)(t + -3)

Reorder the terms:
25 + 10t + t2 = (-3 + t)(t + -3)

Reorder the terms:
25 + 10t + t2 = (-3 + t)(-3 + t)

Multiply (-3 + t) * (-3 + t)
25 + 10t + t2 = (-3(-3 + t) + t(-3 + t))
25 + 10t + t2 = ((-3 * -3 + t * -3) + t(-3 + t))
25 + 10t + t2 = ((9 + -3t) + t(-3 + t))
25 + 10t + t2 = (9 + -3t + (-3 * t + t * t))
25 + 10t + t2 = (9 + -3t + (-3t + t2))

Combine like terms: -3t + -3t = -6t
25 + 10t + t2 = (9 + -6t + t2)

Add '-1t2' to each side of the equation.
25 + 10t + t2 + -1t2 = 9 + -6t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
25 + 10t + 0 = 9 + -6t + t2 + -1t2
25 + 10t = 9 + -6t + t2 + -1t2

Combine like terms: t2 + -1t2 = 0
25 + 10t = 9 + -6t + 0
25 + 10t = 9 + -6t

Solving
25 + 10t = 9 + -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.
25 + 10t + 6t = 9 + -6t + 6t

Combine like terms: 10t + 6t = 16t
25 + 16t = 9 + -6t + 6t

Combine like terms: -6t + 6t = 0
25 + 16t = 9 + 0
25 + 16t = 9

Add '-25' to each side of the equation.
25 + -25 + 16t = 9 + -25

Combine like terms: 25 + -25 = 0
0 + 16t = 9 + -25
16t = 9 + -25

Combine like terms: 9 + -25 = -16
16t = -16

Divide each side by '16'.
t = -1

Simplifying
t = -1

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