4x^2=2x — step-by-step solution

1) Let's solve in

ℝ

4 x^{2} = 2 x

You can write the expression:

4 x^{2} - 2 x

in factored form:

x \cdot (4 x - 2)

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

⇥1.1) Let's solve in

ℝ

x = 0

⇥Solution obtained:

x = 0

⇥1.2) Let's solve in

ℝ

4 x - 2 = 0

⇥

4 x = 2

⇥ⓘ Both sides are divided by

4

⇥

x = \frac{2}{4}

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

2

, their greatest common divisor:

\frac{2}{4}

\frac{1 \cdot 2}{2 \cdot 2}

\frac{1}{2}

⇥Solution found:

x = \frac{1}{2}

▶Solution:

x = {0, \frac{1}{2}}

2) The numeric value of:

x = {0, \frac{1}{2}}

equals:

▷

x = {0, 0.5}