90=40t-5t^2

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Solution for 90=40t-5t^2 equation:


Simplifying
90 = 40t + -5t2

Solving
90 = 40t + -5t2

Solving for variable 't'.

Reorder the terms:
90 + -40t + 5t2 = 40t + -40t + -5t2 + 5t2

Combine like terms: 40t + -40t = 0
90 + -40t + 5t2 = 0 + -5t2 + 5t2
90 + -40t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
90 + -40t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(18 + -8t + t2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(18 + -8t + t2)' equal to zero and attempt to solve: Simplifying 18 + -8t + t2 = 0 Solving 18 + -8t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8t + -18 + t2 = 0 + -18 Reorder the terms: 18 + -18 + -8t + t2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8t + t2 = 0 + -18 -8t + t2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8t + t2 = -18 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -18 + 16 Reorder the terms: 16 + -8t + t2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8t + t2 = -2 Factor a perfect square on the left side: (t + -4)(t + -4) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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