Solve x(7/70)=-5x(2/70)^2+7*7/10+1

$$x ( \frac { 7 } { 70 } ) = - 5 x ( \frac { 2 } { 70 } ) ^ { 2 } + 7 \times \frac { 7 } { 10 } + 1$$

Evaluate

$$-\frac{x}{245}+\frac{59}{10}$$

Solution Steps

Reduce the fraction \frac{2}{70} to lowest terms by extracting and canceling out 2.

$$-5x\times \left(\frac{1}{35}\right)^{2}+7\times \frac{7}{10}+1$$

Calculate \frac{1}{35} to the power of 2 and get \frac{1}{1225}.

$$-5x\times \frac{1}{1225}+7\times \frac{7}{10}+1$$

Multiply -5 and \frac{1}{1225} to get -\frac{1}{245}.

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

Multiply 7 and \frac{7}{10} to get \frac{49}{10}.

$$-\frac{1}{245}x+\frac{49}{10}+1$$

Add \frac{49}{10} and 1 to get \frac{59}{10}.

$$-\frac{1}{245}x+\frac{59}{10}$$

Factor

$$\frac{2891-2x}{490}$$

Solution Steps

Factor out \frac{1}{490}.

$$\frac{-2x+2891}{490}$$

Consider -2x+2401+490. Multiply and combine like terms.

$$-2x+2891$$

Rewrite the complete factored expression.

$$\frac{-2x+2891}{490}$$