(3x^2-2)(sqrt(x-1))=

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Solution for (3x^2-2)(sqrt(x-1))= equation: 


Simplifying
(3x2 + -2)(sqrt(x + -1)) = 0

Reorder the terms:
(-2 + 3x2)(sqrt(x + -1)) = 0

Reorder the terms:
(-2 + 3x2)(qrst(-1 + x)) = 0
(-2 + 3x2)((-1 * qrst + x * qrst)) = 0
(-2 + 3x2)((-1qrst + qrstx)) = 0

Multiply (-2 + 3x2) * (-1qrst + qrstx)
(-2(-1qrst + qrstx) + 3x2 * (-1qrst + qrstx)) = 0
((-1qrst * -2 + qrstx * -2) + 3x2 * (-1qrst + qrstx)) = 0
((2qrst + -2qrstx) + 3x2 * (-1qrst + qrstx)) = 0
(2qrst + -2qrstx + (-1qrst * 3x2 + qrstx * 3x2)) = 0
(2qrst + -2qrstx + (-3qrstx2 + 3qrstx3)) = 0
(2qrst + -2qrstx + -3qrstx2 + 3qrstx3) = 0

Solving
2qrst + -2qrstx + -3qrstx2 + 3qrstx3 = 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(2 + -2x + -3x2 + 3x3) = 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 '(2 + -2x + -3x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
2 + -2x + -3x2 + 3x3 = 0

Solving
2 + -2x + -3x2 + 3x3 = 0

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

Add '-2' to each side of the equation.
2 + -2x + -3x2 + -2 + 3x3 = 0 + -2

Reorder the terms:
2 + -2 + -2x + -3x2 + 3x3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2x + -3x2 + 3x3 = 0 + -2
-2x + -3x2 + 3x3 = 0 + -2

Combine like terms: 0 + -2 = -2
-2x + -3x2 + 3x3 = -2

Add '2x' to each side of the equation.
-2x + -3x2 + 2x + 3x3 = -2 + 2x

Reorder the terms:
-2x + 2x + -3x2 + 3x3 = -2 + 2x

Combine like terms: -2x + 2x = 0
0 + -3x2 + 3x3 = -2 + 2x
-3x2 + 3x3 = -2 + 2x

Add '3x2' to each side of the equation.
-3x2 + 3x2 + 3x3 = -2 + 2x + 3x2

Combine like terms: -3x2 + 3x2 = 0
0 + 3x3 = -2 + 2x + 3x2
3x3 = -2 + 2x + 3x2

Add '-3x3' to each side of the equation.
3x3 + -3x3 = -2 + 2x + 3x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
0 = -2 + 2x + 3x2 + -3x3

Simplifying
0 = -2 + 2x + 3x2 + -3x3

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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