What is the answer to g(1)=-3/2 (2)^1 ?

The answer to g(1)=-3/2 (2)^1 is g=-3

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g(1)=-3/2 (2)^1

g (1) = - \frac{3}{2} (2)^{1}

g = - 3

Solution steps

g (1) = - \frac{3}{2} (2)^{1}

Remove parentheses:

(a) = a

g \cdot 1 = - \frac{3}{2} (2)^{1}

Multiply:

g \cdot 1 = g

g = - \frac{3}{2} (2)^{1}

Apply rule

a^{1} = a

2^{1} = 2

g = - 2 \cdot \frac{3}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

g = - \frac{3 \cdot 2}{2}

Cancel the common factor:

2

g = - 3

\frac{1 - 3 x}{4} = 2 x - 3 (x - \frac{1}{2})

12 x + 12 = 0

\frac{3}{4} (x - 8) = 12

3 x + 11 - 7 x = 1

5 x - 4 = \frac{2 - x}{2}