Solve 24*(5/6)^2-2*(5/6)-15=0

$$24 \times ( \frac { 5 } { 6 } ) ^ { 2 } - 2 \times ( \frac { 5 } { 6 } ) - 15 = 0$$

Verify

Solution Steps

Calculate \frac{5}{6} to the power of 2 and get \frac{25}{36}.

$$24\times \frac{25}{36}-2\times \frac{5}{6}-15=0$$

Express 24\times \frac{25}{36} as a single fraction.

$$\frac{24\times 25}{36}-2\times \frac{5}{6}-15=0$$

Multiply 24 and 25 to get 600.

$$\frac{600}{36}-2\times \frac{5}{6}-15=0$$

Reduce the fraction \frac{600}{36} to lowest terms by extracting and canceling out 12.

$$\frac{50}{3}-2\times \frac{5}{6}-15=0$$

Express 2\times \frac{5}{6} as a single fraction.

$$\frac{50}{3}-\frac{2\times 5}{6}-15=0$$

Multiply 2 and 5 to get 10.

$$\frac{50}{3}-\frac{10}{6}-15=0$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{50}{3}-\frac{5}{3}-15=0$$

Since \frac{50}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-5}{3}-15=0$$

Subtract 5 from 50 to get 45.

$$\frac{45}{3}-15=0$$

Divide 45 by 3 to get 15.

$$15-15=0$$

Subtract 15 from 15 to get 0.

$$0=0$$

Compare 0 and 0.

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