# Solve for t t=(-100v((100)^2-4*4*-216))/(2(4))

t=-100v((100)2-4⋅4⋅-216)2(4)
Reduce the expression by cancelling the common factors.
Cancel the common factor of -100 and 2.
Factor 2 out of -100v((100)2-4⋅4⋅-216).
t=2(-50v((100)2-4⋅4⋅-216))2(4)
Cancel the common factors.
Cancel the common factor.
t=2(-50v((100)2-4⋅4⋅-216))2⋅4
Rewrite the expression.
t=-50v((100)2-4⋅4⋅-216)4
t=-50v((100)2-4⋅4⋅-216)4
t=-50v((100)2-4⋅4⋅-216)4
Cancel the common factor of -50 and 4.
Factor 2 out of -50v((100)2-4⋅4⋅-216).
t=2(-25v((100)2-4⋅4⋅-216))4
Cancel the common factors.
Factor 2 out of 4.
t=2(-25v((100)2-4⋅4⋅-216))2(2)
Cancel the common factor.
t=2(-25v((100)2-4⋅4⋅-216))2⋅2
Rewrite the expression.
t=-25v((100)2-4⋅4⋅-216)2
t=-25v((100)2-4⋅4⋅-216)2
t=-25v((100)2-4⋅4⋅-216)2
t=-25v((100)2-4⋅4⋅-216)2
Simplify the numerator.
Combine exponents.
Multiply -4 by 4.
t=-25v((100)2-16⋅-216)2
Multiply -16 by -216.
t=-25v((100)2+3456)2
t=-25v((100)2+3456)2
Raise 100 to the power of 2.
t=-25v(10000+3456)2
t=-25v⋅134562
t=-25v⋅134562
Reduce the expression by cancelling the common factors.
Multiply 13456 by -25.
t=-336400v2
Cancel the common factor of -336400 and 2.
Factor 2 out of -336400v.
t=2(-168200v)2
Cancel the common factors.
Factor 2 out of 2.
t=2(-168200v)2(1)
Cancel the common factor.
t=2(-168200v)2⋅1
Rewrite the expression.
t=-168200v1
Divide -168200v by 1.
t=-168200v
t=-168200v
t=-168200v
t=-168200v
Solve for t t=(-100v((100)^2-4*4*-216))/(2(4))

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