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Simplifying
405 = 50t * 40t
Reorder the terms for easier multiplication:
405 = 50 * 40t * t
Multiply 50 * 40
405 = 2000t * t
Multiply t * t
405 = 2000t2
Solving
405 = 2000t2
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-2000t2' to each side of the equation.
405 + -2000t2 = 2000t2 + -2000t2
Combine like terms: 2000t2 + -2000t2 = 0
405 + -2000t2 = 0
Add '-405' to each side of the equation.
405 + -405 + -2000t2 = 0 + -405
Combine like terms: 405 + -405 = 0
0 + -2000t2 = 0 + -405
-2000t2 = 0 + -405
Combine like terms: 0 + -405 = -405
-2000t2 = -405
Divide each side by '-2000'.
t2 = 0.2025
Simplifying
t2 = 0.2025
Take the square root of each side:
t = {-0.45, 0.45}
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