Mathematics

What are the solutions to the equation? x^2+6x=40


Answers

tfernatt

2 years ago Comment

x^2 + 6x - 40 = 0
(x + 10)(x - 4)= 0
x = -10 and x = 4

Llama11

2 years ago Comment

x² + 6x = 40

x² + 6x - 40 = 0

Think of two numbers that multiply up to -40 and add up to give +6

The numbers are +10 and -4

Check:  10*-4 = -40.  +10 + -4 = +6.

The +6 in the expression of the equation is replaced with 10 -6.

x² + 6x - 40 = 0

x² + 10x -4x - 40 = 0

x(x + 10) -4(x + 10) = 0

(x +10)(x - 4) = 0

x + 10  = 0      or   x - 4 =0

x = 0 -10         or    x = 0 +4

x = -10 or 4