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Simplifying (9d2 + 2d + 4) * y = 0 Reorder the terms: (4 + 2d + 9d2) * y = 0 Reorder the terms for easier multiplication: y(4 + 2d + 9d2) = 0 (4 * y + 2d * y + 9d2 * y) = 0 Reorder the terms: (2dy + 9d2y + 4y) = 0 (2dy + 9d2y + 4y) = 0 Solving 2dy + 9d2y + 4y = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'y'. y(2d + 9d2 + 4) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2d + 9d2 + 4)' equal to zero and attempt to solve: Simplifying 2d + 9d2 + 4 = 0 Reorder the terms: 4 + 2d + 9d2 = 0 Solving 4 + 2d + 9d2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + 0.2222222222d + d2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + 0.2222222222d + -0.4444444444 + d2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + 0.2222222222d + d2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + 0.2222222222d + d2 = 0 + -0.4444444444 0.2222222222d + d2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 0.2222222222d + d2 = -0.4444444444 The d term is 0.2222222222d. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222d + 0.01234567901 + d2 = -0.4444444444 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222d + d2 = -0.4444444444 + 0.01234567901 Combine like terms: -0.4444444444 + 0.01234567901 = -0.43209876539 0.01234567901 + 0.2222222222d + d2 = -0.43209876539 Factor a perfect square on the left side: (d + 0.1111111111)(d + 0.1111111111) = -0.43209876539 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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