Precalculus Examples

$x = 0$ , $x = - 4$

Since the roots of an equation are the points where the solution is $0$ , set each root as a factor of the equation that equals $0$ .

$(x + 0) (x - 4) = 0$

Add $x$ and $0$ to get $x$ .

$x (x - 4) = 0$

Apply the distributive property.

$x x + x \cdot - 4 = 0$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{1 + 1} + x \cdot - 4 = 0$

Add $1$ and $1$ to get $2$ .

$x^{2} + x \cdot - 4 = 0$

Move $- 4$ to the left of the expression $x \cdot - 4$ .

$x^{2} - 4 \cdot x = 0$

Multiply $- 4$ by $x$ to get $- 4 x$ .

$x^{2} - 4 x = 0$

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