Question

5x^2+5x-30=0 please show work

Answer 1

Factor out the common term 5;

5(x^2 + x - 6) = 0

Factor x^2 + x - 6

5(x - 2)(x + 3) = 0

Solve for x;

x = 2, -3

Answer 2

x = -3 , 2

Explanation:

Simplify. First, divide 5 from both sides of the equation.

(5x² + 5x - 30)/5 = (0)/5

x² + x - 6 = 0

Factor the above equation.

x² + x - 6 = 0

x + 3

x - 2

(x + 3)(x - 2) = 0

Solve for x. Set each parenthesis equal to 0. Isolate the variable for both instances.

(x + 3) = 0

x + 3 (-3) = 0 (-3)

x = 0 - 3

x = -3

(x - 2) = 0

x - 2 (+2) = 0 (+2)

x = 0 + 2

x = 2

x = -3 , 2

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