Algebra Examples

$(- 7, 0)$

$x = - 7$ and $x = 0$ are the two real distinct solutions for the quadratic equation, which means that $x + 7$ and $x - 0$ are the factors of the quadratic equation.

$(x + 7) (x - 0) = 0$

Subtract $0$ from $x$ .

$(x + 7) x = 0$

Apply the distributive property.

$x \cdot x + 7 x = 0$

Multiply $x$ by $x$ .

$x^{2} + 7 x = 0$

The standard quadratic equation using the given set of solutions ${- 7, 0}$ is $y = x^{2} + 7 x$ .

$y = x^{2} + 7 x$