3x^2+7=6x — step-by-step solution

Let's solve in

ℝ

3 x^{2} + 7 = 6 x

3 x^{2} + 7 - 6 x = 0

Given the quadratic form

a x^{2} + b x + c

, let's compute the discriminant:

Δ = b^{2} - 4 a c

Δ = {(-6)}^{2} - 4 \cdot 3 \cdot 7

ℹ

{(-6)}^{2}

36

‖

4 \cdot 3

12

Δ = 36 - 12 \cdot 7

Δ = 36 - 84

Δ = -48

Since

Δ < 0

, the equation has no solution.

No solution in

ℝ

for:

x

▶Solution:

x \in \emptyset