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Simplifying 7d * 7d + -5d = 0 Reorder the terms for easier multiplication: 7 * 7d * d + -5d = 0 Multiply 7 * 7 49d * d + -5d = 0 Multiply d * d 49d2 + -5d = 0 Reorder the terms: -5d + 49d2 = 0 Solving -5d + 49d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-5 + 49d) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-5 + 49d)' equal to zero and attempt to solve: Simplifying -5 + 49d = 0 Solving -5 + 49d = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 49d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 49d = 0 + 5 49d = 0 + 5 Combine like terms: 0 + 5 = 5 49d = 5 Divide each side by '49'. d = 0.1020408163 Simplifying d = 0.1020408163Solution
d = {0, 0.1020408163}
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