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Simplifying 0 = sqrt(x2 + 20x + -104) Reorder the terms: 0 = qrst(-104 + 20x + x2) 0 = (-104 * qrst + 20x * qrst + x2 * qrst) 0 = (-104qrst + 20qrstx + qrstx2) Solving 0 = -104qrst + 20qrstx + qrstx2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '104qrst' to each side of the equation. 0 + 104qrst = -104qrst + 20qrstx + 104qrst + qrstx2 Remove the zero: 104qrst = -104qrst + 20qrstx + 104qrst + qrstx2 Reorder the terms: 104qrst = -104qrst + 104qrst + 20qrstx + qrstx2 Combine like terms: -104qrst + 104qrst = 0 104qrst = 0 + 20qrstx + qrstx2 104qrst = 20qrstx + qrstx2 Add '-20qrstx' to each side of the equation. 104qrst + -20qrstx = 20qrstx + -20qrstx + qrstx2 Combine like terms: 20qrstx + -20qrstx = 0 104qrst + -20qrstx = 0 + qrstx2 104qrst + -20qrstx = qrstx2 Add '-1qrstx2' to each side of the equation. 104qrst + -20qrstx + -1qrstx2 = qrstx2 + -1qrstx2 Combine like terms: qrstx2 + -1qrstx2 = 0 104qrst + -20qrstx + -1qrstx2 = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(104 + -20x + -1x2) = 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 '(104 + -20x + -1x2)' equal to zero and attempt to solve: Simplifying 104 + -20x + -1x2 = 0 Solving 104 + -20x + -1x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -20x + -104 + -1x2 = 0 + -104 Reorder the terms: 104 + -104 + -20x + -1x2 = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -20x + -1x2 = 0 + -104 -20x + -1x2 = 0 + -104 Combine like terms: 0 + -104 = -104 -20x + -1x2 = -104 Add '20x' to each side of the equation. -20x + 20x + -1x2 = -104 + 20x Combine like terms: -20x + 20x = 0 0 + -1x2 = -104 + 20x -1x2 = -104 + 20x Add 'x2' to each side of the equation. -1x2 + x2 = -104 + 20x + x2 Combine like terms: -1x2 + x2 = 0 0 = -104 + 20x + x2 Simplifying 0 = -104 + 20x + x2 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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