What is the answer to x/2+b/a*x+c/a =0 ?

The answer to x/2+b/a*x+c/a =0 is x=-(2c)/(a+2b);\quad a\ne 0,b\ne-a/2

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x/2+b/a*x+c/a =0

\frac{x}{2} + \frac{b}{a} \cdot x + \frac{c}{a} = 0

x = - \frac{2 c}{a + 2 b}; a \neq = 0, b \neq = - \frac{a}{2}

Solution steps

\frac{x}{2} + \frac{b}{a} x + \frac{c}{a} = 0

Multiply

\frac{b}{a} x : \frac{b x}{a}

\frac{x}{2} + \frac{b x}{a} + \frac{c}{a} = 0

Multiply by LCM

a x + 2 b x + 2 c = 0; a \neq = 0

Move

2 c

to the right side

a x + 2 b x = - 2 c; a \neq = 0

Factor

a x + 2 b x : x (a + 2 b)

x (a + 2 b) = - 2 c; a \neq = 0

Divide both sides by

a + 2 b; a \neq = 0, b \neq = - \frac{a}{2}

x = - \frac{2 c}{a + 2 b}; a \neq = 0, b \neq = - \frac{a}{2}

x, - f = 3

x - \frac{1}{10} = 1000

x, 3 x + 7 y = 11

2 (k - 1) x + 1 = 0

t, n = a^{0} (1 + r) t

What is the answer to x/2+b/a*x+c/a =0 ?
The answer to x/2+b/a*x+c/a =0 is x=-(2c)/(a+2b);\quad a\ne 0,b\ne-a/2