Question

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

Answer 1

Answer:

$5x^{2} + 34x - 22$

Step-by-step 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

Answer:

5x^2 + 34x - 22 = 0

Step-by-step 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