2x^2=5x — step-by-step solution

Let's solve in

ℝ

2 x^{2} = 5 x

You can write the expression:

2 x^{2} - 5 x

in factored form:

x \cdot (2 x - 5)

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

2 x - 5 = 0

⇥

2 x = 5

⇥ⓘ Both sides are divided by

2

⇥Solution found:

x = \frac{5}{2}

▶Solution:

x = {0, \frac{5}{2}}

The numeric value of:

x = {0, \frac{5}{2}}

equals:

▷

x = {0, 2.5}