Solve 5x² - 20 = 0

Problem

$5x^2 - 20 = 0$

Step-by-step solution

Pull out the GCF $5$ : $5(x^2 - 4) = 0$ .
Recognise difference of squares: $x^2 - 4 = (x-2)(x+2)$ .
Full factoring: $5(x - 2)(x + 2) = 0$ .
Set the binomial factors to zero (the constant 5 cannot make the product zero): $x = 2$ or $x = -2$ .

Answer

$x = 2 \quad \text{or} \quad x = -2$

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