(5w-5t)(5w+4t)=

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Solution for (5w-5t)(5w+4t)= equation: 


Simplifying
(5w + -5t)(5w + 4t) = 0

Reorder the terms:
(-5t + 5w)(5w + 4t) = 0

Reorder the terms:
(-5t + 5w)(4t + 5w) = 0

Multiply (-5t + 5w) * (4t + 5w)
(-5t * (4t + 5w) + 5w * (4t + 5w)) = 0
((4t * -5t + 5w * -5t) + 5w * (4t + 5w)) = 0

Reorder the terms:
((-25tw + -20t2) + 5w * (4t + 5w)) = 0
((-25tw + -20t2) + 5w * (4t + 5w)) = 0
(-25tw + -20t2 + (4t * 5w + 5w * 5w)) = 0
(-25tw + -20t2 + (20tw + 25w2)) = 0

Reorder the terms:
(-25tw + 20tw + -20t2 + 25w2) = 0

Combine like terms: -25tw + 20tw = -5tw
(-5tw + -20t2 + 25w2) = 0

Solving
-5tw + -20t2 + 25w2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1tw + -4t2 + 5w2) = 0

Factor a trinomial.
5((-4t + -5w)(t + -1w)) = 0

Ignore the factor 5.

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

Simplifying
-4t + -5w = 0

Solving
-4t + -5w = 0

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

Add '5w' to each side of the equation.
-4t + -5w + 5w = 0 + 5w

Combine like terms: -5w + 5w = 0
-4t + 0 = 0 + 5w
-4t = 0 + 5w
Remove the zero:
-4t = 5w

Divide each side by '-4'.
t = -1.25w

Simplifying
t = -1.25w

Subproblem 2
Set the factor '(t + -1w)' equal to zero and attempt to solve:

Simplifying
t + -1w = 0

Solving
t + -1w = 0

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

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

Combine like terms: -1w + w = 0
t + 0 = 0 + w
t = 0 + w
Remove the zero:
t = w

Simplifying
t = w
Solution
t = {-1.25w, w}

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