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Simplifying x2 + 20xd + 100d2 = 0 Reorder the terms: 20dx + 100d2 + x2 = 0 Solving 20dx + 100d2 + x2 = 0 Solving for variable 'd'. Factor a trinomial. (10d + x)(10d + x) = 0Subproblem 1
Set the factor '(10d + x)' equal to zero and attempt to solve: Simplifying 10d + x = 0 Solving 10d + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. 10d + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 10d + 0 = 0 + -1x 10d = 0 + -1x Remove the zero: 10d = -1x Divide each side by '10'. d = -0.1x Simplifying d = -0.1xSubproblem 2
Set the factor '(10d + x)' equal to zero and attempt to solve: Simplifying 10d + x = 0 Solving 10d + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. 10d + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 10d + 0 = 0 + -1x 10d = 0 + -1x Remove the zero: 10d = -1x Divide each side by '10'. d = -0.1x Simplifying d = -0.1xSolution
d = {-0.1x, -0.1x}
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