t(t-11)+t(t+2)+25=2t(t+5)-15

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Solution for t(t-11)+t(t+2)+25=2t(t+5)-15 equation: 


Simplifying
t(t + -11) + t(t + 2) + 25 = 2t(t + 5) + -15

Reorder the terms:
t(-11 + t) + t(t + 2) + 25 = 2t(t + 5) + -15
(-11 * t + t * t) + t(t + 2) + 25 = 2t(t + 5) + -15
(-11t + t2) + t(t + 2) + 25 = 2t(t + 5) + -15

Reorder the terms:
-11t + t2 + t(2 + t) + 25 = 2t(t + 5) + -15
-11t + t2 + (2 * t + t * t) + 25 = 2t(t + 5) + -15
-11t + t2 + (2t + t2) + 25 = 2t(t + 5) + -15

Reorder the terms:
25 + -11t + 2t + t2 + t2 = 2t(t + 5) + -15

Combine like terms: -11t + 2t = -9t
25 + -9t + t2 + t2 = 2t(t + 5) + -15

Combine like terms: t2 + t2 = 2t2
25 + -9t + 2t2 = 2t(t + 5) + -15

Reorder the terms:
25 + -9t + 2t2 = 2t(5 + t) + -15
25 + -9t + 2t2 = (5 * 2t + t * 2t) + -15
25 + -9t + 2t2 = (10t + 2t2) + -15

Reorder the terms:
25 + -9t + 2t2 = -15 + 10t + 2t2

Add '-2t2' to each side of the equation.
25 + -9t + 2t2 + -2t2 = -15 + 10t + 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
25 + -9t + 0 = -15 + 10t + 2t2 + -2t2
25 + -9t = -15 + 10t + 2t2 + -2t2

Combine like terms: 2t2 + -2t2 = 0
25 + -9t = -15 + 10t + 0
25 + -9t = -15 + 10t

Solving
25 + -9t = -15 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
25 + -9t + -10t = -15 + 10t + -10t

Combine like terms: -9t + -10t = -19t
25 + -19t = -15 + 10t + -10t

Combine like terms: 10t + -10t = 0
25 + -19t = -15 + 0
25 + -19t = -15

Add '-25' to each side of the equation.
25 + -25 + -19t = -15 + -25

Combine like terms: 25 + -25 = 0
0 + -19t = -15 + -25
-19t = -15 + -25

Combine like terms: -15 + -25 = -40
-19t = -40

Divide each side by '-19'.
t = 2.105263158

Simplifying
t = 2.105263158

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