Solve 4x+3^2=2/-3:-6

$$4 x + 3 ^ { 2 } = \frac { 2 } { - 3 } : - 6$$

Solve for x

$$x = -\frac{20}{9} = -2\frac{2}{9} \approx -2.222222222$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -6.

$$-24x-6\times 3^{2}=\frac{2}{-3}$$

Calculate 3 to the power of 2 and get 9.

$$-24x-6\times 9=\frac{2}{-3}$$

Multiply -6 and 9 to get -54.

$$-24x-54=\frac{2}{-3}$$

Fraction \frac{2}{-3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-24x-54=-\frac{2}{3}$$

Add 54 to both sides.

$$-24x=-\frac{2}{3}+54$$

Convert 54 to fraction \frac{162}{3}.

$$-24x=-\frac{2}{3}+\frac{162}{3}$$

Since -\frac{2}{3} and \frac{162}{3} have the same denominator, add them by adding their numerators.

$$-24x=\frac{-2+162}{3}$$

Add -2 and 162 to get 160.

$$-24x=\frac{160}{3}$$

Divide both sides by -24.

$$x=\frac{\frac{160}{3}}{-24}$$

Express \frac{\frac{160}{3}}{-24} as a single fraction.

$$x=\frac{160}{3\left(-24\right)}$$

Multiply 3 and -24 to get -72.

$$x=\frac{160}{-72}$$

Reduce the fraction \frac{160}{-72} to lowest terms by extracting and canceling out 8.

$$x=-\frac{20}{9}$$