(6w+5t)(6w-5t)=

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Solution for (6w+5t)(6w-5t)= equation:


Simplifying
(6w + 5t)(6w + -5t) = 0

Reorder the terms:
(5t + 6w)(6w + -5t) = 0

Reorder the terms:
(5t + 6w)(-5t + 6w) = 0

Multiply (5t + 6w) * (-5t + 6w)
(5t * (-5t + 6w) + 6w * (-5t + 6w)) = 0
((-5t * 5t + 6w * 5t) + 6w * (-5t + 6w)) = 0

Reorder the terms:
((30tw + -25t2) + 6w * (-5t + 6w)) = 0
((30tw + -25t2) + 6w * (-5t + 6w)) = 0
(30tw + -25t2 + (-5t * 6w + 6w * 6w)) = 0
(30tw + -25t2 + (-30tw + 36w2)) = 0

Reorder the terms:
(30tw + -30tw + -25t2 + 36w2) = 0

Combine like terms: 30tw + -30tw = 0
(0 + -25t2 + 36w2) = 0
(-25t2 + 36w2) = 0

Solving
-25t2 + 36w2 = 0

Solving for variable 't'.

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

Add '-36w2' to each side of the equation.
-25t2 + 36w2 + -36w2 = 0 + -36w2

Combine like terms: 36w2 + -36w2 = 0
-25t2 + 0 = 0 + -36w2
-25t2 = 0 + -36w2
Remove the zero:
-25t2 = -36w2

Divide each side by '-25'.
t2 = 1.44w2

Simplifying
t2 = 1.44w2

Take the square root of each side:
t = {-1.2w, 1.2w}

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