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Simplifying 104t2 + 4t + 10 = 0 Reorder the terms: 10 + 4t + 104t2 = 0 Solving 10 + 4t + 104t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 2t + 52t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 2t + 52t2)' equal to zero and attempt to solve: Simplifying 5 + 2t + 52t2 = 0 Solving 5 + 2t + 52t2 = 0 Begin completing the square. Divide all terms by 52 the coefficient of the squared term: Divide each side by '52'. 0.09615384615 + 0.03846153846t + t2 = 0 Move the constant term to the right: Add '-0.09615384615' to each side of the equation. 0.09615384615 + 0.03846153846t + -0.09615384615 + t2 = 0 + -0.09615384615 Reorder the terms: 0.09615384615 + -0.09615384615 + 0.03846153846t + t2 = 0 + -0.09615384615 Combine like terms: 0.09615384615 + -0.09615384615 = 0.00000000000 0.00000000000 + 0.03846153846t + t2 = 0 + -0.09615384615 0.03846153846t + t2 = 0 + -0.09615384615 Combine like terms: 0 + -0.09615384615 = -0.09615384615 0.03846153846t + t2 = -0.09615384615 The t term is 0.03846153846t. Take half its coefficient (0.01923076923). Square it (0.0003698224852) and add it to both sides. Add '0.0003698224852' to each side of the equation. 0.03846153846t + 0.0003698224852 + t2 = -0.09615384615 + 0.0003698224852 Reorder the terms: 0.0003698224852 + 0.03846153846t + t2 = -0.09615384615 + 0.0003698224852 Combine like terms: -0.09615384615 + 0.0003698224852 = -0.0957840236648 0.0003698224852 + 0.03846153846t + t2 = -0.0957840236648 Factor a perfect square on the left side: (t + 0.01923076923)(t + 0.01923076923) = -0.0957840236648 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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