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Simplifying (x + -3) * SQRT(1 + -1x) = 0 Reorder the terms: (-3 + x) * SQRT(1 + -1x) = 0 Reorder the terms for easier multiplication: QRST(-3 + x)(1 + -1x) = 0 Multiply (-3 + x) * (1 + -1x) QRST(-3(1 + -1x) + x(1 + -1x)) = 0 QRST((1 * -3 + -1x * -3) + x(1 + -1x)) = 0 QRST((-3 + 3x) + x(1 + -1x)) = 0 QRST(-3 + 3x + (1 * x + -1x * x)) = 0 QRST(-3 + 3x + (1x + -1x2)) = 0 Combine like terms: 3x + 1x = 4x QRST(-3 + 4x + -1x2) = 0 (-3 * QRST + 4x * QRST + -1x2 * QRST) = 0 (-3QRST + 4xQRST + -1x2QRST) = 0 Solving -3QRST + 4xQRST + -1x2QRST = 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(-3 + 4x + -1x2) = 0 Factor a trinomial. QRST((-3 + x)(1 + -1x)) = 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing Q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing Q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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