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Simplifying 2x2 + -6x + 11 + 2sqrt(x2 + -3x + 5) = 25 Reorder the terms: 2x2 + -6x + 11 + 2qrst(5 + -3x + x2) = 25 2x2 + -6x + 11 + (5 * 2qrst + -3x * 2qrst + x2 * 2qrst) = 25 2x2 + -6x + 11 + (10qrst + -6qrstx + 2qrstx2) = 25 Reorder the terms: 11 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 25 Solving 11 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 25 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 10qrst + -6qrstx + 2qrstx2 + -6x + -11 + 2x2 = 25 + -11 Reorder the terms: 11 + -11 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 25 + -11 Combine like terms: 11 + -11 = 0 0 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 25 + -11 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 25 + -11 Combine like terms: 25 + -11 = 14 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 14 Add '6x' to each side of the equation. 10qrst + -6qrstx + 2qrstx2 + -6x + 6x + 2x2 = 14 + 6x Combine like terms: -6x + 6x = 0 10qrst + -6qrstx + 2qrstx2 + 0 + 2x2 = 14 + 6x 10qrst + -6qrstx + 2qrstx2 + 2x2 = 14 + 6x Add '-2x2' to each side of the equation. 10qrst + -6qrstx + 2qrstx2 + 2x2 + -2x2 = 14 + 6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 10qrst + -6qrstx + 2qrstx2 + 0 = 14 + 6x + -2x2 10qrst + -6qrstx + 2qrstx2 = 14 + 6x + -2x2 Reorder the terms: -14 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 14 + 6x + -2x2 + -14 + -6x + 2x2 Reorder the terms: -14 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 14 + -14 + 6x + -6x + -2x2 + 2x2 Combine like terms: 14 + -14 = 0 -14 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 0 + 6x + -6x + -2x2 + 2x2 -14 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 6x + -6x + -2x2 + 2x2 Combine like terms: 6x + -6x = 0 -14 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 0 + -2x2 + 2x2 -14 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -14 + 10qrst + -6qrstx + 2qrstx2 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 5qrst + -3qrstx + qrstx2 + -3x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 5qrst + -3qrstx + qrstx2 + -3x + x2)' equal to zero and attempt to solve: Simplifying -7 + 5qrst + -3qrstx + qrstx2 + -3x + x2 = 0 Solving -7 + 5qrst + -3qrstx + qrstx2 + -3x + x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5qrst + -3qrstx + qrstx2 + -3x + 7 + x2 = 0 + 7 Reorder the terms: -7 + 7 + 5qrst + -3qrstx + qrstx2 + -3x + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5qrst + -3qrstx + qrstx2 + -3x + x2 = 0 + 7 5qrst + -3qrstx + qrstx2 + -3x + x2 = 0 + 7 Combine like terms: 0 + 7 = 7 5qrst + -3qrstx + qrstx2 + -3x + x2 = 7 Add '3x' to each side of the equation. 5qrst + -3qrstx + qrstx2 + -3x + 3x + x2 = 7 + 3x Combine like terms: -3x + 3x = 0 5qrst + -3qrstx + qrstx2 + 0 + x2 = 7 + 3x 5qrst + -3qrstx + qrstx2 + x2 = 7 + 3x Add '-1x2' to each side of the equation. 5qrst + -3qrstx + qrstx2 + x2 + -1x2 = 7 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 5qrst + -3qrstx + qrstx2 + 0 = 7 + 3x + -1x2 5qrst + -3qrstx + qrstx2 = 7 + 3x + -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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