(9-x^2)*sqrt(x-1)=0

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Solution for (9-x^2)*sqrt(x-1)=0 equation: 


Simplifying
(9 + -1x2) * sqrt(x + -1) = 0

Reorder the terms:
(9 + -1x2) * qrst(-1 + x) = 0

Reorder the terms for easier multiplication:
qrst(9 + -1x2)(-1 + x) = 0

Multiply (9 + -1x2) * (-1 + x)
qrst(9(-1 + x) + -1x2 * (-1 + x)) = 0
qrst((-1 * 9 + x * 9) + -1x2 * (-1 + x)) = 0
qrst((-9 + 9x) + -1x2 * (-1 + x)) = 0
qrst(-9 + 9x + (-1 * -1x2 + x * -1x2)) = 0
qrst(-9 + 9x + (1x2 + -1x3)) = 0
qrst(-9 + 9x + 1x2 + -1x3) = 0
(-9 * qrst + 9x * qrst + 1x2 * qrst + -1x3 * qrst) = 0
(-9qrst + 9qrstx + 1qrstx2 + -1qrstx3) = 0

Solving
-9qrst + 9qrstx + 1qrstx2 + -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(-9 + 9x + x2 + -1x3) = 0


Subproblem 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 '(-9 + 9x + x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-9 + 9x + x2 + -1x3 = 0

Solving
-9 + 9x + x2 + -1x3 = 0

Move all terms containing q to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9x + x2 + 9 + -1x3 = 0 + 9

Reorder the terms:
-9 + 9 + 9x + x2 + -1x3 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 9x + x2 + -1x3 = 0 + 9
9x + x2 + -1x3 = 0 + 9

Combine like terms: 0 + 9 = 9
9x + x2 + -1x3 = 9

Add '-9x' to each side of the equation.
9x + x2 + -9x + -1x3 = 9 + -9x

Reorder the terms:
9x + -9x + x2 + -1x3 = 9 + -9x

Combine like terms: 9x + -9x = 0
0 + x2 + -1x3 = 9 + -9x
x2 + -1x3 = 9 + -9x

Add '-1x2' to each side of the equation.
x2 + -1x2 + -1x3 = 9 + -9x + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -1x3 = 9 + -9x + -1x2
-1x3 = 9 + -9x + -1x2

Add 'x3' to each side of the equation.
-1x3 + x3 = 9 + -9x + -1x2 + x3

Combine like terms: -1x3 + x3 = 0
0 = 9 + -9x + -1x2 + x3

Simplifying
0 = 9 + -9x + -1x2 + x3

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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