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Simplifying 80t2 + 80t + 50 = 0 Reorder the terms: 50 + 80t + 80t2 = 0 Solving 50 + 80t + 80t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '10'. 10(5 + 8t + 8t2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(5 + 8t + 8t2)' equal to zero and attempt to solve: Simplifying 5 + 8t + 8t2 = 0 Solving 5 + 8t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + t + t2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + t + -0.625 + t2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + t + t2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + t + t2 = 0 + -0.625 t + t2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 t + t2 = -0.625 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = -0.625 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = -0.625 + 0.25 Combine like terms: -0.625 + 0.25 = -0.375 1.25 + t2 = -0.375 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = -0.375 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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