x^2+7x=3x — step-by-step solution

Let's solve in

ℝ

x^{2} + 7 x = 3 x

x^{2} + 7 x - 3 x = 0

ⓘ Like terms are grouped by adding their coefficients:

7 x - 3 x

4 x

x^{2} + 4 x = 0

You can factor:

x^{2} + 4 x

into:

x \cdot (x + 4)

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

x + 4 = 0

⇥Solution obtained:

x = -4

▶Solution:

x = {-4, 0}