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Simplifying 0 = 16t2 + -100t + 175 Reorder the terms: 0 = 175 + -100t + 16t2 Solving 0 = 175 + -100t + 16t2 Solving for variable 't'. Combine like terms: 0 + -175 = -175 -175 + 100t + -16t2 = 175 + -100t + 16t2 + -175 + 100t + -16t2 Reorder the terms: -175 + 100t + -16t2 = 175 + -175 + -100t + 100t + 16t2 + -16t2 Combine like terms: 175 + -175 = 0 -175 + 100t + -16t2 = 0 + -100t + 100t + 16t2 + -16t2 -175 + 100t + -16t2 = -100t + 100t + 16t2 + -16t2 Combine like terms: -100t + 100t = 0 -175 + 100t + -16t2 = 0 + 16t2 + -16t2 -175 + 100t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -175 + 100t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 10.9375 + -6.25t + t2 = 0 Move the constant term to the right: Add '-10.9375' to each side of the equation. 10.9375 + -6.25t + -10.9375 + t2 = 0 + -10.9375 Reorder the terms: 10.9375 + -10.9375 + -6.25t + t2 = 0 + -10.9375 Combine like terms: 10.9375 + -10.9375 = 0.0000 0.0000 + -6.25t + t2 = 0 + -10.9375 -6.25t + t2 = 0 + -10.9375 Combine like terms: 0 + -10.9375 = -10.9375 -6.25t + t2 = -10.9375 The t term is -6.25t. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25t + 9.765625 + t2 = -10.9375 + 9.765625 Reorder the terms: 9.765625 + -6.25t + t2 = -10.9375 + 9.765625 Combine like terms: -10.9375 + 9.765625 = -1.171875 9.765625 + -6.25t + t2 = -1.171875 Factor a perfect square on the left side: (t + -3.125)(t + -3.125) = -1.171875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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