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Simplifying sqrt(4t + -10) + 6 = 8 Reorder the terms: qrst(-10 + 4t) + 6 = 8 (-10 * qrst + 4t * qrst) + 6 = 8 (-10qrst + 4qrst2) + 6 = 8 Reorder the terms: 6 + -10qrst + 4qrst2 = 8 Solving 6 + -10qrst + 4qrst2 = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -10qrst + -6 + 4qrst2 = 8 + -6 Reorder the terms: 6 + -6 + -10qrst + 4qrst2 = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -10qrst + 4qrst2 = 8 + -6 -10qrst + 4qrst2 = 8 + -6 Combine like terms: 8 + -6 = 2 -10qrst + 4qrst2 = 2 Reorder the terms: -2 + -10qrst + 4qrst2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -10qrst + 4qrst2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -5qrst + 2qrst2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -5qrst + 2qrst2)' equal to zero and attempt to solve: Simplifying -1 + -5qrst + 2qrst2 = 0 Solving -1 + -5qrst + 2qrst2 = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -5qrst + 1 + 2qrst2 = 0 + 1 Reorder the terms: -1 + 1 + -5qrst + 2qrst2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5qrst + 2qrst2 = 0 + 1 -5qrst + 2qrst2 = 0 + 1 Combine like terms: 0 + 1 = 1 -5qrst + 2qrst2 = 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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