76.4k views
12 votes
X(x+7)=4x+10
then needs to get the normal form of the equation
x= ?, x=?

User Exceptions
by
6.0k points

1 Answer

11 votes

Answer:

x = - 5, x = 2

Explanation:

Given

x(x + 7) = 4x + 10 ← distribute left side

x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

User Yasser Moussa
by
7.3k points
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