Question

Express -5x(x+6) = 4(x-3)-10 in the form ax^2+bx+c=0 (quadratic formula)

Answer 1

`5x^(2) + 34x - 22`

Explanation:

-5x ( x + 6 ) = 4 ( x - 3 ) - 10

Distribute

`-5x^(2) - 30x = 4x - 12 - 10`

Simplify,

`-5x^(2) -30x = 4x -22`

Inverse operations;

`-5x^(2) - 30x = 4x - 22\\ +30x +30x\\\\-5x^(2) = 34x - 22\\+5x^(2) +5x^(2)\\\\5x^(2) + 34x - 22`

Answer 2

5x^2 + 34x - 22 = 0

Explanation:

-5x(x+6) = 4(x-3)-10

-5x^2 - 30x = 4x - 12- 10

-5x^2 - 30x - 4x + 22 = 0

-5x^2 - 34x + 22 = 0

5x^2 + 34x - 22 = 0