Mathematics
desireepruitt25
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What are the solutions to the equation? x^2+6x=40

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(2) Answers
tfernatt

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

Llama11

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

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