# Solve for {eq}x {/eq}: {eq}\displaystyle 3 x^2 - 15 x + 18 = 0 {/eq}.

## Question:

Solve for {eq}x {/eq}:

{eq}\displaystyle 3 x^2 - 15 x + 18 = 0 {/eq}.

A quadratic equation always gives two solutions. We get two real solutions when the discriminant of the equation is positive. The real solutions can be found using factorization or the formula.

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The equation can be solved as follows.

\begin{align} 3 x^2 - 15 x + 18 &= 0\\[0.2cm] x^2-5x+6&=0& \left[ \text{ Dividing both sides by 3 }...

What is a Quadratic Equation? - Definition & Examples

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Chapter 14 / Lesson 1
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What is a quadratic equation? Learn what makes an equation quadratic and what does a quadratic equation looks like. See some examples of a quadratic equation.