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Simplifying 20t2 + -14t + 4 = 0 Reorder the terms: 4 + -14t + 20t2 = 0 Solving 4 + -14t + 20t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -7t + 10t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -7t + 10t2)' equal to zero and attempt to solve: Simplifying 2 + -7t + 10t2 = 0 Solving 2 + -7t + 10t2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.2 + -0.7t + t2 = 0.0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.7t + -0.2 + t2 = 0.0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.7t + t2 = 0.0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.7t + t2 = 0.0 + -0.2 -0.7t + t2 = 0.0 + -0.2 Combine like terms: 0.0 + -0.2 = -0.2 -0.7t + t2 = -0.2 The t term is -0.7t. Take half its coefficient (-0.35). Square it (0.1225) and add it to both sides. Add '0.1225' to each side of the equation. -0.7t + 0.1225 + t2 = -0.2 + 0.1225 Reorder the terms: 0.1225 + -0.7t + t2 = -0.2 + 0.1225 Combine like terms: -0.2 + 0.1225 = -0.0775 0.1225 + -0.7t + t2 = -0.0775 Factor a perfect square on the left side: (t + -0.35)(t + -0.35) = -0.0775 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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