Solve for d d^2+3d-10=0

$d^{2} + 3 d - 10 = 0$

Factor $d^{2} + 3 d - 10$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 10$ and whose sum is $3$ .

$- 2, 5$

Write the factored form using these integers.

$(d - 2) (d + 5) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$d - 2 = 0$

$d + 5 = 0$

Set $d - 2$ equal to $0$ and solve for $d$ .

Set $d - 2$ equal to $0$ .

$d - 2 = 0$

Add $2$ to both sides of the equation.

$d = 2$

Set $d + 5$ equal to $0$ and solve for $d$ .

Set $d + 5$ equal to $0$ .

$d + 5 = 0$

Subtract $5$ from both sides of the equation.

$d = - 5$

The final solution is all the values that make $(d - 2) (d + 5) = 0$ true.

$d = 2, - 5$

Solve for d d^2+3d-10=0

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