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Simplifying (x + -2) * sqrt(x2 + -5x + 4) = 0 Reorder the terms: (-2 + x) * sqrt(x2 + -5x + 4) = 0 Reorder the terms: (-2 + x) * qrst(4 + -5x + x2) = 0 Reorder the terms for easier multiplication: qrst(-2 + x)(4 + -5x + x2) = 0 Multiply (-2 + x) * (4 + -5x + x2) qrst(-2(4 + -5x + x2) + x(4 + -5x + x2)) = 0 qrst((4 * -2 + -5x * -2 + x2 * -2) + x(4 + -5x + x2)) = 0 qrst((-8 + 10x + -2x2) + x(4 + -5x + x2)) = 0 qrst(-8 + 10x + -2x2 + (4 * x + -5x * x + x2 * x)) = 0 qrst(-8 + 10x + -2x2 + (4x + -5x2 + x3)) = 0 Reorder the terms: qrst(-8 + 10x + 4x + -2x2 + -5x2 + x3) = 0 Combine like terms: 10x + 4x = 14x qrst(-8 + 14x + -2x2 + -5x2 + x3) = 0 Combine like terms: -2x2 + -5x2 = -7x2 qrst(-8 + 14x + -7x2 + x3) = 0 (-8 * qrst + 14x * qrst + -7x2 * qrst + x3 * qrst) = 0 (-8qrst + 14qrstx + -7qrstx2 + qrstx3) = 0 Solving -8qrst + 14qrstx + -7qrstx2 + qrstx3 = 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(-8 + 14x + -7x2 + 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 '(-8 + 14x + -7x2 + x3)' equal to zero and attempt to solve: Simplifying -8 + 14x + -7x2 + x3 = 0 Solving -8 + 14x + -7x2 + x3 = 0 Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 14x + -7x2 + 8 + x3 = 0 + 8 Reorder the terms: -8 + 8 + 14x + -7x2 + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 14x + -7x2 + x3 = 0 + 8 14x + -7x2 + x3 = 0 + 8 Combine like terms: 0 + 8 = 8 14x + -7x2 + x3 = 8 Add '-14x' to each side of the equation. 14x + -7x2 + -14x + x3 = 8 + -14x Reorder the terms: 14x + -14x + -7x2 + x3 = 8 + -14x Combine like terms: 14x + -14x = 0 0 + -7x2 + x3 = 8 + -14x -7x2 + x3 = 8 + -14x Add '7x2' to each side of the equation. -7x2 + 7x2 + x3 = 8 + -14x + 7x2 Combine like terms: -7x2 + 7x2 = 0 0 + x3 = 8 + -14x + 7x2 x3 = 8 + -14x + 7x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 8 + -14x + 7x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 8 + -14x + 7x2 + -1x3 Simplifying 0 = 8 + -14x + 7x2 + -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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