2x^2+7x=15 write in standard then factor the left side of the equation.

see explanation

Step-by-step explanation:

Given

2x² + 7x = 15 (subtract 15 from both sides)

2x² + 7x - 15 = 0 ← in standard form

To factorise the left side

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term

product = 2 * - 15 = - 30 and sum = + 7

The factors are + 10 and - 3

Use these factors to split the x - term

2x² + 10x - 3x - 15 (factor the first/second and third/fourth terms)

2x (x + 5) - 3 (x + 5) ← factor out (x + 5) from each term

(x + 5) (2x - 3) ← in factored form