Solve (15/4)^2+4*9a=0

$$( \frac { 15 } { 4 } ) ^ { 2 } + 4 \times 9 a = 0$$

Solve for a

$$a=-\frac{25}{64}=-0.390625$$

Steps for Solving Linear Equation

Calculate \frac{15}{4} to the power of 2 and get \frac{225}{16}.

$$\frac{225}{16}+4\times 9a=0$$

Multiply 4 and 9 to get 36.

$$\frac{225}{16}+36a=0$$

Subtract \frac{225}{16} from both sides. Anything subtracted from zero gives its negation.

$$36a=-\frac{225}{16}$$

Divide both sides by 36.

$$a=\frac{-\frac{225}{16}}{36}$$

Express \frac{-\frac{225}{16}}{36} as a single fraction.

$$a=\frac{-225}{16\times 36}$$

Multiply 16 and 36 to get 576.

$$a=\frac{-225}{576}$$

Reduce the fraction \frac{-225}{576} to lowest terms by extracting and canceling out 9.

$$a=-\frac{25}{64}$$