Solve 0=49/4a-7a+4

$$0 = \frac { 49 } { 4 } a - 7 a + 4$$

Solve for a

$$a=-\frac{16}{21}\approx -0.761904762$$

Steps for Solving Linear Equation

Combine \frac{49}{4}a and -7a to get \frac{21}{4}a.

$$0=\frac{21}{4}a+4$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{21}{4}a+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$\frac{21}{4}a=-4$$

Multiply both sides by \frac{4}{21}, the reciprocal of \frac{21}{4}.

$$a=-4\times \frac{4}{21}$$

Express -4\times \frac{4}{21} as a single fraction.

$$a=\frac{-4\times 4}{21}$$

Multiply -4 and 4 to get -16.

$$a=\frac{-16}{21}$$

Fraction \frac{-16}{21} can be rewritten as -\frac{16}{21} by extracting the negative sign.

$$a=-\frac{16}{21}$$