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Simplifying 32d2 + 10d + -8c2 = 0 Reorder the terms: -8c2 + 10d + 32d2 = 0 Solving -8c2 + 10d + 32d2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10d' to each side of the equation. -8c2 + 10d + -10d + 32d2 = 0 + -10d Combine like terms: 10d + -10d = 0 -8c2 + 0 + 32d2 = 0 + -10d -8c2 + 32d2 = 0 + -10d Remove the zero: -8c2 + 32d2 = -10d Add '-32d2' to each side of the equation. -8c2 + 32d2 + -32d2 = -10d + -32d2 Combine like terms: 32d2 + -32d2 = 0 -8c2 + 0 = -10d + -32d2 -8c2 = -10d + -32d2 Divide each side by '-8'. c2 = 1.25d + 4d2 Simplifying c2 = 1.25d + 4d2 Reorder the terms: c2 + -1.25d + -4d2 = 1.25d + -1.25d + 4d2 + -4d2 Combine like terms: 1.25d + -1.25d = 0.00 c2 + -1.25d + -4d2 = 0.00 + 4d2 + -4d2 c2 + -1.25d + -4d2 = 4d2 + -4d2 Combine like terms: 4d2 + -4d2 = 0 c2 + -1.25d + -4d2 = 0 The solution to this equation could not be determined.
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