2t^2-12t+32=0

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Solution for 2t^2-12t+32=0 equation:


Simplifying
2t2 + -12t + 32 = 0

Reorder the terms:
32 + -12t + 2t2 = 0

Solving
32 + -12t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -6t + t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(16 + -6t + t2)' equal to zero and attempt to solve: Simplifying 16 + -6t + t2 = 0 Solving 16 + -6t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -6t + -16 + t2 = 0 + -16 Reorder the terms: 16 + -16 + -6t + t2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6t + t2 = 0 + -16 -6t + t2 = 0 + -16 Combine like terms: 0 + -16 = -16 -6t + t2 = -16 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -16 + 9 Reorder the terms: 9 + -6t + t2 = -16 + 9 Combine like terms: -16 + 9 = -7 9 + -6t + t2 = -7 Factor a perfect square on the left side: (t + -3)(t + -3) = -7 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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