t*t+10t+25=t*t-6t+9

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Solution for t*t+10t+25=t*t-6t+9 equation:


Simplifying
t * t + 10t + 25 = t * t + -6t + 9

Multiply t * t
t2 + 10t + 25 = t * t + -6t + 9

Reorder the terms:
25 + 10t + t2 = t * t + -6t + 9

Multiply t * t
25 + 10t + t2 = t2 + -6t + 9

Reorder the terms:
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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