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Simplifying 3x2 + -3sqrt(3x2 + -3x + 7) = 3x + 3 Reorder the terms: 3x2 + -3qrst(7 + -3x + 3x2) = 3x + 3 3x2 + (7 * -3qrst + -3x * -3qrst + 3x2 * -3qrst) = 3x + 3 3x2 + (-21qrst + 9qrstx + -9qrstx2) = 3x + 3 Reorder the terms: -21qrst + 9qrstx + -9qrstx2 + 3x2 = 3x + 3 Reorder the terms: -21qrst + 9qrstx + -9qrstx2 + 3x2 = 3 + 3x Solving -21qrst + 9qrstx + -9qrstx2 + 3x2 = 3 + 3x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3x2' to each side of the equation. -21qrst + 9qrstx + -9qrstx2 + 3x2 + -3x2 = 3 + 3x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -21qrst + 9qrstx + -9qrstx2 + 0 = 3 + 3x + -3x2 -21qrst + 9qrstx + -9qrstx2 = 3 + 3x + -3x2 Reorder the terms: -3 + -21qrst + 9qrstx + -9qrstx2 + -3x + 3x2 = 3 + 3x + -3x2 + -3 + -3x + 3x2 Reorder the terms: -3 + -21qrst + 9qrstx + -9qrstx2 + -3x + 3x2 = 3 + -3 + 3x + -3x + -3x2 + 3x2 Combine like terms: 3 + -3 = 0 -3 + -21qrst + 9qrstx + -9qrstx2 + -3x + 3x2 = 0 + 3x + -3x + -3x2 + 3x2 -3 + -21qrst + 9qrstx + -9qrstx2 + -3x + 3x2 = 3x + -3x + -3x2 + 3x2 Combine like terms: 3x + -3x = 0 -3 + -21qrst + 9qrstx + -9qrstx2 + -3x + 3x2 = 0 + -3x2 + 3x2 -3 + -21qrst + 9qrstx + -9qrstx2 + -3x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -3 + -21qrst + 9qrstx + -9qrstx2 + -3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -7qrst + 3qrstx + -3qrstx2 + -1x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -7qrst + 3qrstx + -3qrstx2 + -1x + x2)' equal to zero and attempt to solve: Simplifying -1 + -7qrst + 3qrstx + -3qrstx2 + -1x + x2 = 0 Solving -1 + -7qrst + 3qrstx + -3qrstx2 + -1x + x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -7qrst + 3qrstx + -3qrstx2 + -1x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -7qrst + 3qrstx + -3qrstx2 + -1x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7qrst + 3qrstx + -3qrstx2 + -1x + x2 = 0 + 1 -7qrst + 3qrstx + -3qrstx2 + -1x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -7qrst + 3qrstx + -3qrstx2 + -1x + x2 = 1 Add 'x' to each side of the equation. -7qrst + 3qrstx + -3qrstx2 + -1x + x + x2 = 1 + x Combine like terms: -1x + x = 0 -7qrst + 3qrstx + -3qrstx2 + 0 + x2 = 1 + x -7qrst + 3qrstx + -3qrstx2 + x2 = 1 + x Add '-1x2' to each side of the equation. -7qrst + 3qrstx + -3qrstx2 + x2 + -1x2 = 1 + x + -1x2 Combine like terms: x2 + -1x2 = 0 -7qrst + 3qrstx + -3qrstx2 + 0 = 1 + x + -1x2 -7qrst + 3qrstx + -3qrstx2 = 1 + x + -1x2 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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