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Simplifying 0 = x * sqrt(16 + -1x2) Multiply x * qrst 0 = qrstx(16 + -1x2) 0 = (16 * qrstx + -1x2 * qrstx) 0 = (16qrstx + -1qrstx3) Solving 0 = 16qrstx + -1qrstx3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16qrstx' to each side of the equation. 0 + -16qrstx = 16qrstx + -16qrstx + -1qrstx3 Remove the zero: -16qrstx = 16qrstx + -16qrstx + -1qrstx3 Combine like terms: 16qrstx + -16qrstx = 0 -16qrstx = 0 + -1qrstx3 -16qrstx = -1qrstx3 Add 'qrstx3' to each side of the equation. -16qrstx + qrstx3 = -1qrstx3 + qrstx3 Combine like terms: -1qrstx3 + qrstx3 = 0 -16qrstx + qrstx3 = 0 Factor out the Greatest Common Factor (GCF), 'qrstx'. qrstx(-16 + x2) = 0 Factor a difference between two squares. qrstx((4 + x)(-4 + x)) = 0Subproblem 1
Set the factor 'qrstx' equal to zero and attempt to solve: Simplifying qrstx = 0 Solving qrstx = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrstx = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -1x 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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