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Simplifying Sqrt(20d) + 5sqrt(125d) + -2sqrt(45d) = 0 Remove parenthesis around (20d) qrtS * 20d + 5sqrt(125d) + -2sqrt(45d) = 0 Reorder the terms for easier multiplication: 20qrtS * d + 5sqrt(125d) + -2sqrt(45d) = 0 Multiply qrtS * d 20dqrtS + 5sqrt(125d) + -2sqrt(45d) = 0 Remove parenthesis around (125d) 20dqrtS + 5qrst * 125d + -2sqrt(45d) = 0 Reorder the terms for easier multiplication: 20dqrtS + 5 * 125qrst * d + -2sqrt(45d) = 0 Multiply 5 * 125 20dqrtS + 625qrst * d + -2sqrt(45d) = 0 Multiply qrst * d 20dqrtS + 625dqrst + -2sqrt(45d) = 0 Remove parenthesis around (45d) 20dqrtS + 625dqrst + -2qrst * 45d = 0 Reorder the terms for easier multiplication: 20dqrtS + 625dqrst + -2 * 45qrst * d = 0 Multiply -2 * 45 20dqrtS + 625dqrst + -90qrst * d = 0 Multiply qrst * d 20dqrtS + 625dqrst + -90dqrst = 0 Reorder the terms: 625dqrst + -90dqrst + 20dqrtS = 0 Combine like terms: 625dqrst + -90dqrst = 535dqrst 535dqrst + 20dqrtS = 0 Solving 535dqrst + 20dqrtS = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5dqrt'. 5dqrt(107s + 4S) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'dqrt' equal to zero and attempt to solve: Simplifying dqrt = 0 Solving dqrt = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dqrt = 0 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 '(107s + 4S)' equal to zero and attempt to solve: Simplifying 107s + 4S = 0 Reorder the terms: 4S + 107s = 0 Solving 4S + 107s = 0 Move all terms containing d to the left, all other terms to the right. Add '-4S' to each side of the equation. 4S + -4S + 107s = 0 + -4S Combine like terms: 4S + -4S = 0 0 + 107s = 0 + -4S 107s = 0 + -4S Remove the zero: 107s = -4S Add '-107s' to each side of the equation. 107s + -107s = -4S + -107s Combine like terms: 107s + -107s = 0 0 = -4S + -107s Simplifying 0 = -4S + -107s 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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