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Simplifying 5t2 + -5t + 550 = 0 Reorder the terms: 550 + -5t + 5t2 = 0 Solving 550 + -5t + 5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(110 + -1t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(110 + -1t + t2)' equal to zero and attempt to solve: Simplifying 110 + -1t + t2 = 0 Solving 110 + -1t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-110' to each side of the equation. 110 + -1t + -110 + t2 = 0 + -110 Reorder the terms: 110 + -110 + -1t + t2 = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -1t + t2 = 0 + -110 -1t + t2 = 0 + -110 Combine like terms: 0 + -110 = -110 -1t + t2 = -110 The t term is -1t. 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. -1t + 0.25 + t2 = -110 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -110 + 0.25 Combine like terms: -110 + 0.25 = -109.75 0.25 + -1t + t2 = -109.75 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = -109.75 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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