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Simplifying (25 + -1x2) * sqrt(2 + -1x) = 0 Reorder the terms for easier multiplication: qrst(25 + -1x2)(2 + -1x) = 0 Multiply (25 + -1x2) * (2 + -1x) qrst(25(2 + -1x) + -1x2 * (2 + -1x)) = 0 qrst((2 * 25 + -1x * 25) + -1x2 * (2 + -1x)) = 0 qrst((50 + -25x) + -1x2 * (2 + -1x)) = 0 qrst(50 + -25x + (2 * -1x2 + -1x * -1x2)) = 0 qrst(50 + -25x + (-2x2 + 1x3)) = 0 qrst(50 + -25x + -2x2 + 1x3) = 0 (50 * qrst + -25x * qrst + -2x2 * qrst + 1x3 * qrst) = 0 (50qrst + -25qrstx + -2qrstx2 + 1qrstx3) = 0 Solving 50qrst + -25qrstx + -2qrstx2 + 1qrstx3 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(50 + -25x + -2x2 + x3) = 0Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(50 + -25x + -2x2 + x3)' equal to zero and attempt to solve: Simplifying 50 + -25x + -2x2 + x3 = 0 Solving 50 + -25x + -2x2 + x3 = 0 Move all terms containing q to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -25x + -2x2 + -50 + x3 = 0 + -50 Reorder the terms: 50 + -50 + -25x + -2x2 + x3 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -25x + -2x2 + x3 = 0 + -50 -25x + -2x2 + x3 = 0 + -50 Combine like terms: 0 + -50 = -50 -25x + -2x2 + x3 = -50 Add '25x' to each side of the equation. -25x + -2x2 + 25x + x3 = -50 + 25x Reorder the terms: -25x + 25x + -2x2 + x3 = -50 + 25x Combine like terms: -25x + 25x = 0 0 + -2x2 + x3 = -50 + 25x -2x2 + x3 = -50 + 25x Add '2x2' to each side of the equation. -2x2 + 2x2 + x3 = -50 + 25x + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 + x3 = -50 + 25x + 2x2 x3 = -50 + 25x + 2x2 Add '-1x3' to each side of the equation. x3 + -1x3 = -50 + 25x + 2x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = -50 + 25x + 2x2 + -1x3 Simplifying 0 = -50 + 25x + 2x2 + -1x3 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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