Isolate x term: Isolate the term with the variable x. To isolate the term with x, we need to subtract 5 from both sides of the equation. 2√3(x) + 5 - 5 = 1 - 5 2√3(x) = -4Divide by 2√3: Divide both sides by 2√3 to solve for x. x = -4 / (2√3)Rationalize denominator: Simplify the fraction by multiplying the numerator and denominator by √3 to rationalize the denominator. x = (-4√3) / (2√3 * √3) x = (-4√3) / (6)Simplify fraction: Simplify the fraction further by dividing both the numerator and the denominator by 2. x = (-2√3) / 3

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$2 \sqrt[3]{x}+5=1$

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Algebra 2

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2 \sqrt[3]{x}+5=1

Isolate x term: Isolate the term with the variable $x$ . $\newline$ To isolate the term with $x$ , we need to subtract $5$ from both sides of the equation. $\newline$ $2\sqrt{3}(x) + 5 - 5 = 1 - 5$ $\newline$ $2\sqrt{3}(x) = -4$
Divide by $2\sqrt{3}$ : Divide both sides by $2\sqrt{3}$ to solve for $x$ . $x = \frac{-4}{(2\sqrt{3})}$
Rationalize denominator: Simplify the fraction by multiplying the numerator and denominator by $\sqrt{3}$ to rationalize the denominator. $x = \frac{-4\sqrt{3}}{2\sqrt{3} \times \sqrt{3}}$ $x = \frac{-4\sqrt{3}}{6}$
Simplify fraction: Simplify the fraction further by dividing both the numerator and the denominator by $2$ . $x = \frac{-2\sqrt{3}}{3}$