Solve =-5x(7/10)^2+7*7/10+1

$$= - 5 x ( \frac { 7 } { 10 } ) ^ { 2 } + 7 \times \frac { 7 } { 10 } + 1$$

Evaluate

$$-\frac{49x}{20}+\frac{59}{10}$$

Solution Steps

Calculate \frac{7}{10} to the power of 2 and get \frac{49}{100}.

$$-5x\times \frac{49}{100}+7\times \frac{7}{10}+1$$

Express -5\times \frac{49}{100} as a single fraction.

$$\frac{-5\times 49}{100}x+7\times \frac{7}{10}+1$$

Multiply -5 and 49 to get -245.

$$\frac{-245}{100}x+7\times \frac{7}{10}+1$$

Reduce the fraction \frac{-245}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{49}{20}x+7\times \frac{7}{10}+1$$

Express 7\times \frac{7}{10} as a single fraction.

$$-\frac{49}{20}x+\frac{7\times 7}{10}+1$$

Multiply 7 and 7 to get 49.

$$-\frac{49}{20}x+\frac{49}{10}+1$$

Convert 1 to fraction \frac{10}{10}.

$$-\frac{49}{20}x+\frac{49}{10}+\frac{10}{10}$$

Since \frac{49}{10} and \frac{10}{10} have the same denominator, add them by adding their numerators.

$$-\frac{49}{20}x+\frac{49+10}{10}$$

Add 49 and 10 to get 59.

$$-\frac{49}{20}x+\frac{59}{10}$$

Factor

$$\frac{118-49x}{20}$$

Solution Steps

Factor out \frac{1}{20}.

$$\frac{-49x+118}{20}$$

Consider -49x+98+20. Multiply and combine like terms.

$$-49x+118$$

Rewrite the complete factored expression.

$$\frac{-49x+118}{20}$$