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Simplifying sqrt(x2 + 45) + -1sqrt(18x) = 0 Reorder the terms: qrst(45 + x2) + -1sqrt(18x) = 0 (45 * qrst + x2 * qrst) + -1sqrt(18x) = 0 (45qrst + qrstx2) + -1sqrt(18x) = 0 Remove parenthesis around (18x) 45qrst + qrstx2 + -1qrst * 18x = 0 Reorder the terms for easier multiplication: 45qrst + qrstx2 + -1 * 18qrst * x = 0 Multiply -1 * 18 45qrst + qrstx2 + -18qrst * x = 0 Multiply qrst * x 45qrst + qrstx2 + -18qrstx = 0 Reorder the terms: 45qrst + -18qrstx + qrstx2 = 0 Solving 45qrst + -18qrstx + qrstx2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(45 + -18x + x2) = 0 Factor a trinomial. qrst((3 + -1x)(15 + -1x)) = 0Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Add 'x' to each side of the equation. -1x + x = -15 + x Combine like terms: -1x + x = 0 0 = -15 + x Simplifying 0 = -15 + x 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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