Solve x + c/a = 0 x^2 + b/a x =

Evaluate

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

Simplify

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

Multiply both sides of the equation by LCD

(x + \frac{c}{a}) a = \frac{b x}{a} \times a

Simplify the equation

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a x + c = \frac{b x}{a} \times a

Simplify the equation

a x + c = b x

Move the variable to the left side

a x + c - b x = 0

Collect like terms by calculating the sum or difference of their coefficients

(a - b) x + c = 0

Move the constant to the right side

(a - b) x = 0 - c

Removing 0 doesn't change the value,so remove it from the expression

(a - b) x = - c

Divide both sides

\frac{( a - b ) x}{a - b} = \frac{- c}{a - b}

Divide the numbers

x = \frac{- c}{a - b}

Solution

x = - \frac{c}{a - b}

Solve the equation