5x^2=15x — step-by-step solution

Let's solve in

ℝ

5 x^{2} = 15 x

You can factorize the expression:

5 x^{2} - 15 x

into:

x \cdot (5 x - 15)

A product is zero if and only if one of its factors is zero: we solve each factor equal to 0

⇥Let's solve in

ℝ

x = 0

⇥Solution found:

x = 0

⇥Let's solve in

ℝ

5 x - 15 = 0

⇥

5 x = 15

⇥ⓘ Both sides are divided by

5

⇥

x = \frac{15}{5}

⇥ⓘ We simplify the fraction by dividing the numerator and the denominator by

5

, their greatest common divisor:

\frac{15}{5}

3

⇥Solution obtained:

x = 3

▶Solution:

x = {0, 3}