16t^2+0t+300=20t

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Solution for 16t^2+0t+300=20t equation:


Simplifying
16t2 + 0t + 300 = 20t

Anything times zero is zero.
16t2 + 0t + 300 = 20t

Reorder the terms:
0 + 300 + 16t2 = 20t

Combine like terms: 0 + 300 = 300
300 + 16t2 = 20t

Solving
300 + 16t2 = 20t

Solving for variable 't'.

Reorder the terms:
300 + -20t + 16t2 = 20t + -20t

Combine like terms: 20t + -20t = 0
300 + -20t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(75 + -5t + 4t2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(75 + -5t + 4t2)' equal to zero and attempt to solve: Simplifying 75 + -5t + 4t2 = 0 Solving 75 + -5t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 18.75 + -1.25t + t2 = 0 Move the constant term to the right: Add '-18.75' to each side of the equation. 18.75 + -1.25t + -18.75 + t2 = 0 + -18.75 Reorder the terms: 18.75 + -18.75 + -1.25t + t2 = 0 + -18.75 Combine like terms: 18.75 + -18.75 = 0.00 0.00 + -1.25t + t2 = 0 + -18.75 -1.25t + t2 = 0 + -18.75 Combine like terms: 0 + -18.75 = -18.75 -1.25t + t2 = -18.75 The t term is -1.25t. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25t + 0.390625 + t2 = -18.75 + 0.390625 Reorder the terms: 0.390625 + -1.25t + t2 = -18.75 + 0.390625 Combine like terms: -18.75 + 0.390625 = -18.359375 0.390625 + -1.25t + t2 = -18.359375 Factor a perfect square on the left side: (t + -0.625)(t + -0.625) = -18.359375 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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