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Simplifying sqrt(y + -1) + sqrt(y + -4) = sqrt(4y + -11) Reorder the terms: qrst(-1 + y) + sqrt(y + -4) = sqrt(4y + -11) (-1 * qrst + y * qrst) + sqrt(y + -4) = sqrt(4y + -11) (-1qrst + qrsty) + sqrt(y + -4) = sqrt(4y + -11) Reorder the terms: -1qrst + qrsty + qrst(-4 + y) = sqrt(4y + -11) -1qrst + qrsty + (-4 * qrst + y * qrst) = sqrt(4y + -11) -1qrst + qrsty + (-4qrst + qrsty) = sqrt(4y + -11) Reorder the terms: -1qrst + -4qrst + qrsty + qrsty = sqrt(4y + -11) Combine like terms: -1qrst + -4qrst = -5qrst -5qrst + qrsty + qrsty = sqrt(4y + -11) Combine like terms: qrsty + qrsty = 2qrsty -5qrst + 2qrsty = sqrt(4y + -11) Reorder the terms: -5qrst + 2qrsty = qrst(-11 + 4y) -5qrst + 2qrsty = (-11 * qrst + 4y * qrst) -5qrst + 2qrsty = (-11qrst + 4qrsty) Solving -5qrst + 2qrsty = -11qrst + 4qrsty Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '11qrst' to each side of the equation. -5qrst + 11qrst + 2qrsty = -11qrst + 11qrst + 4qrsty Combine like terms: -5qrst + 11qrst = 6qrst 6qrst + 2qrsty = -11qrst + 11qrst + 4qrsty Combine like terms: -11qrst + 11qrst = 0 6qrst + 2qrsty = 0 + 4qrsty 6qrst + 2qrsty = 4qrsty Add '-4qrsty' to each side of the equation. 6qrst + 2qrsty + -4qrsty = 4qrsty + -4qrsty Combine like terms: 2qrsty + -4qrsty = -2qrsty 6qrst + -2qrsty = 4qrsty + -4qrsty Combine like terms: 4qrsty + -4qrsty = 0 6qrst + -2qrsty = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(3 + -1y) = 0 Ignore the factor 2.Subproblem 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 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + y 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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