(50t)(50t)+(60t)(60t)=(900)(900)

Solution for (50t)(50t)+(60t)(60t)=(900)(900) equation:

Simplifying
(50t)(50t) + (60t)(60t) = (900)(900)

Remove parenthesis around (50t)
50t(50t) + (60t)(60t) = (900)(900)

Remove parenthesis around (50t)
50t * 50t + (60t)(60t) = (900)(900)

Reorder the terms for easier multiplication:
50 * 50t * t + (60t)(60t) = (900)(900)

Multiply 50 * 50
2500t * t + (60t)(60t) = (900)(900)

Multiply t * t
2500t2 + (60t)(60t) = (900)(900)

Remove parenthesis around (60t)
2500t2 + 60t(60t) = (900)(900)

Remove parenthesis around (60t)
2500t2 + 60t * 60t = (900)(900)

Reorder the terms for easier multiplication:
2500t2 + 60 * 60t * t = (900)(900)

Multiply 60 * 60
2500t2 + 3600t * t = (900)(900)

Multiply t * t
2500t2 + 3600t2 = (900)(900)

Combine like terms: 2500t2 + 3600t2 = 6100t2
6100t2 = (900)(900)

Multiply 900 * 900
6100t2 = 810000

Solving
6100t2 = 810000

Solving for variable 't'.

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

Divide each side by '6100'.
t2 = 132.7868852

Simplifying
t2 = 132.7868852

Take the square root of each side:
t = {-11.523319192, 11.523319192}