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Simplifying (sqrt(4x + 1)) + -1(sqrt(2x + -3)) = 8 Reorder the terms: (qrst(1 + 4x)) + -1(sqrt(2x + -3)) = 8 ((1 * qrst + 4x * qrst)) + -1(sqrt(2x + -3)) = 8 ((1qrst + 4qrstx)) + -1(sqrt(2x + -3)) = 8 (1qrst + 4qrstx) + -1(sqrt(2x + -3)) = 8 Remove parenthesis around (1qrst + 4qrstx) 1qrst + 4qrstx + -1(sqrt(2x + -3)) = 8 Reorder the terms: 1qrst + 4qrstx + -1(qrst(-3 + 2x)) = 8 1qrst + 4qrstx + -1((-3 * qrst + 2x * qrst)) = 8 1qrst + 4qrstx + -1((-3qrst + 2qrstx)) = 8 1qrst + 4qrstx + (-3qrst * -1 + 2qrstx * -1) = 8 1qrst + 4qrstx + (3qrst + -2qrstx) = 8 Reorder the terms: 1qrst + 3qrst + 4qrstx + -2qrstx = 8 Combine like terms: 1qrst + 3qrst = 4qrst 4qrst + 4qrstx + -2qrstx = 8 Combine like terms: 4qrstx + -2qrstx = 2qrstx 4qrst + 2qrstx = 8 Solving 4qrst + 2qrstx = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -8 + 4qrst + 2qrstx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2qrst + qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2qrst + qrstx)' equal to zero and attempt to solve: Simplifying -4 + 2qrst + qrstx = 0 Solving -4 + 2qrst + qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2qrst + 4 + qrstx = 0 + 4 Reorder the terms: -4 + 4 + 2qrst + qrstx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2qrst + qrstx = 0 + 4 2qrst + qrstx = 0 + 4 Combine like terms: 0 + 4 = 4 2qrst + qrstx = 4 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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