Find All Complex Solutions square root of 3x-2=-1

$\sqrt{3 x - 2} = - 1$

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{3 x - 2}}^{2} = {(- 1)}^{2}$

Simplify each side of the equation.

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Multiply the exponents in ${({(3 x - 2)}^{\frac{1}{2}})}^{2}$ .

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Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(3 x - 2)}^{\frac{1}{2} \cdot 2} = {(- 1)}^{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

${(3 x - 2)}^{\frac{1}{2} \cdot 2} = {(- 1)}^{2}$

Rewrite the expression.

${(3 x - 2)}^{1} = {(- 1)}^{2}$

Simplify.

$3 x - 2 = {(- 1)}^{2}$

Raise $- 1$ to the power of $2$ .

$3 x - 2 = 1$

Solve for $x$ .

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Move all terms not containing $x$ to the right side of the equation.

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Add $2$ to both sides of the equation.

$3 x = 1 + 2$

Add $1$ and $2$ .

$3 x = 3$

Divide each term by $3$ and simplify.

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Divide each term in $3 x = 3$ by $3$ .

$\frac{3 x}{3} = \frac{3}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 x}{3} = \frac{3}{3}$

Divide $x$ by $1$ .

$x = \frac{3}{3}$

Divide $3$ by $3$ .

$x = 1$

Exclude the solutions that do not make $\sqrt{3 x - 2} = - 1$ true.

No solution

Find All Complex Solutions square root of 3x-2=-1

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