25t-5t*5t=20

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Solution for 25t-5t*5t=20 equation: 


Simplifying
25t + -5t * 5t = 20

Reorder the terms for easier multiplication:
25t + -5 * 5t * t = 20

Multiply -5 * 5
25t + -25t * t = 20

Multiply t * t
25t + -25t2 = 20

Solving
25t + -25t2 = 20

Solving for variable 't'.

Reorder the terms:
-20 + 25t + -25t2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 25t + -25t2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 5t + -5t2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + 5t + -5t2)' equal to zero and attempt to solve:

Simplifying
-4 + 5t + -5t2 = 0

Solving
-4 + 5t + -5t2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.8 + -1t + t2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1t + -0.8 + t2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1t + t2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1t + t2 = 0 + -0.8
-1t + t2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1t + t2 = -0.8

The t term is -1t.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1t + 0.25 + t2 = -0.8 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -0.8 + 0.25

Combine like terms: -0.8 + 0.25 = -0.55
0.25 + -1t + t2 = -0.55

Factor a perfect square on the left side:
(t + -0.5)(t + -0.5) = -0.55

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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