16t^2-64t+128=0

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Solution for 16t^2-64t+128=0 equation:


Simplifying
16t2 + -64t + 128 = 0

Reorder the terms:
128 + -64t + 16t2 = 0

Solving
128 + -64t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(8 + -4t + t2) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(8 + -4t + t2)' equal to zero and attempt to solve: Simplifying 8 + -4t + t2 = 0 Solving 8 + -4t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4t + -8 + t2 = 0 + -8 Reorder the terms: 8 + -8 + -4t + t2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4t + t2 = 0 + -8 -4t + t2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4t + t2 = -8 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = -8 + 4 Reorder the terms: 4 + -4t + t2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4t + t2 = -4 Factor a perfect square on the left side: (t + -2)(t + -2) = -4 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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