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Simplifying Sqrt(-7 + -7x) + 3 = 10 (-7 * qrtS + -7x * qrtS) + 3 = 10 (-7qrtS + -7qrtxS) + 3 = 10 Reorder the terms: 3 + -7qrtS + -7qrtxS = 10 Solving 3 + -7qrtS + -7qrtxS = 10 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -7qrtS + -3 + -7qrtxS = 10 + -3 Reorder the terms: 3 + -3 + -7qrtS + -7qrtxS = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -7qrtS + -7qrtxS = 10 + -3 -7qrtS + -7qrtxS = 10 + -3 Combine like terms: 10 + -3 = 7 -7qrtS + -7qrtxS = 7 Reorder the terms: -7 + -7qrtS + -7qrtxS = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -7qrtS + -7qrtxS = 0 Factor out the Greatest Common Factor (GCF), '-7'. -7(1 + qrtS + qrtxS) = 0 Ignore the factor -7.Subproblem 1
Set the factor '(1 + qrtS + qrtxS)' equal to zero and attempt to solve: Simplifying 1 + qrtS + qrtxS = 0 Solving 1 + qrtS + qrtxS = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + qrtS + -1 + qrtxS = 0 + -1 Reorder the terms: 1 + -1 + qrtS + qrtxS = 0 + -1 Combine like terms: 1 + -1 = 0 0 + qrtS + qrtxS = 0 + -1 qrtS + qrtxS = 0 + -1 Combine like terms: 0 + -1 = -1 qrtS + qrtxS = -1 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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