3t-7=5t*6t

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Solution for 3t-7=5t*6t equation: 


Simplifying
3t + -7 = 5t * 6t

Reorder the terms:
-7 + 3t = 5t * 6t

Reorder the terms for easier multiplication:
-7 + 3t = 5 * 6t * t

Multiply 5 * 6
-7 + 3t = 30t * t

Multiply t * t
-7 + 3t = 30t2

Solving
-7 + 3t = 30t2

Solving for variable 't'.

Combine like terms: 30t2 + -30t2 = 0
-7 + 3t + -30t2 = 0

Begin completing the square.  Divide all terms by
-30 the coefficient of the squared term: 

Divide each side by '-30'.
0.2333333333 + -0.1t + t2 = 0

Move the constant term to the right:

Add '-0.2333333333' to each side of the equation.
0.2333333333 + -0.1t + -0.2333333333 + t2 = 0 + -0.2333333333

Reorder the terms:
0.2333333333 + -0.2333333333 + -0.1t + t2 = 0 + -0.2333333333

Combine like terms: 0.2333333333 + -0.2333333333 = 0.0000000000
0.0000000000 + -0.1t + t2 = 0 + -0.2333333333
-0.1t + t2 = 0 + -0.2333333333

Combine like terms: 0 + -0.2333333333 = -0.2333333333
-0.1t + t2 = -0.2333333333

The t term is -0.1t.  Take half its coefficient (-0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
-0.1t + 0.0025 + t2 = -0.2333333333 + 0.0025

Reorder the terms:
0.0025 + -0.1t + t2 = -0.2333333333 + 0.0025

Combine like terms: -0.2333333333 + 0.0025 = -0.2308333333
0.0025 + -0.1t + t2 = -0.2308333333

Factor a perfect square on the left side:
(t + -0.05)(t + -0.05) = -0.2308333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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