How to solve x/5=3/7x.7

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve x/5=3/7x.7 | Equatix

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$$x/5=3/7x.7$$

$x=0$

Multiply both sides of the equation by $35$, the least common multiple of $5,7$.

$$7x=15x\times 0.7$$

Multiply $15$ and $0.7$ to get $10.5$.

$$7x=10.5x$$

Subtract $10.5x$ from both sides.

$$7x-10.5x=0$$

Combine $7x$ and $-10.5x$ to get $-3.5x$.

$$-3.5x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $-3.5$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$