Solve 4/9-x^2-x^2-1+2x+2x^2+7/3x-1

$$\frac { 4 } { 9 } - x ^ { 2 } - x ^ { 2 } - 1 + 2 x + 2 x ^ { 2 } + \frac { 7 } { 3 } x - 1$$

Evaluate

$$\frac{13x}{3}-\frac{14}{9}$$

Solution Steps

Combine -x^{2} and -x^{2} to get -2x^{2}.

$$\frac{4}{9}-2x^{2}-1+2x+2x^{2}+\frac{7}{3}x-1$$

Subtract 1 from \frac{4}{9} to get -\frac{5}{9}.

$$-\frac{5}{9}-2x^{2}+2x+2x^{2}+\frac{7}{3}x-1$$

Combine -2x^{2} and 2x^{2} to get 0.

$$-\frac{5}{9}+2x+\frac{7}{3}x-1$$

Combine 2x and \frac{7}{3}x to get \frac{13}{3}x.

$$-\frac{5}{9}+\frac{13}{3}x-1$$

Subtract 1 from -\frac{5}{9} to get -\frac{14}{9}.

$$-\frac{14}{9}+\frac{13}{3}x$$

Factor

$$\frac{39x-14}{9}$$

Solution Steps

Factor out \frac{1}{9}.

$$\frac{-14+39x}{9}$$

Consider 4-9x^{2}-9x^{2}-9+18x+18x^{2}+21x-9. Multiply and combine like terms.

$$39x-14$$

Rewrite the complete factored expression.

$$\frac{39x-14}{9}$$