190=60t-5t^2

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Solution for 190=60t-5t^2 equation:


Simplifying
190 = 60t + -5t2

Solving
190 = 60t + -5t2

Solving for variable 't'.

Reorder the terms:
190 + -60t + 5t2 = 60t + -60t + -5t2 + 5t2

Combine like terms: 60t + -60t = 0
190 + -60t + 5t2 = 0 + -5t2 + 5t2
190 + -60t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
190 + -60t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(38 + -12t + t2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(38 + -12t + t2)' equal to zero and attempt to solve: Simplifying 38 + -12t + t2 = 0 Solving 38 + -12t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + -12t + -38 + t2 = 0 + -38 Reorder the terms: 38 + -38 + -12t + t2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -12t + t2 = 0 + -38 -12t + t2 = 0 + -38 Combine like terms: 0 + -38 = -38 -12t + t2 = -38 The t term is -12t. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12t + 36 + t2 = -38 + 36 Reorder the terms: 36 + -12t + t2 = -38 + 36 Combine like terms: -38 + 36 = -2 36 + -12t + t2 = -2 Factor a perfect square on the left side: (t + -6)(t + -6) = -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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