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Simplifying 2t2 + -20t = -64 Reorder the terms: -20t + 2t2 = -64 Solving -20t + 2t2 = -64 Solving for variable 't'. Reorder the terms: 64 + -20t + 2t2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + -20t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(32 + -10t + t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(32 + -10t + t2)' equal to zero and attempt to solve: Simplifying 32 + -10t + t2 = 0 Solving 32 + -10t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + -10t + -32 + t2 = 0 + -32 Reorder the terms: 32 + -32 + -10t + t2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -10t + t2 = 0 + -32 -10t + t2 = 0 + -32 Combine like terms: 0 + -32 = -32 -10t + t2 = -32 The t term is -10t. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10t + 25 + t2 = -32 + 25 Reorder the terms: 25 + -10t + t2 = -32 + 25 Combine like terms: -32 + 25 = -7 25 + -10t + t2 = -7 Factor a perfect square on the left side: (t + -5)(t + -5) = -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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