Question

x(x + 10) = 10 (-10 - x)
find all solution to the following equation​

Answer 1

Answer:

I hope its helpful for you

Step-by-step explanation:

$x(x + 10) = 10( - 10 - x)$

${x}^{2} + 10x = - 100 - 10x \\ {x}^{2} + 20x + 100 = 0$

${x}^{2} + 10x + 10x + 100 = 0$

$x(x + 10) + 10(x + 10) = 0$

$(x + 10)(x + 10) = 0$

$x + 10 = 0 \\ x = - 10$

$x + 10 = 0 \\ x = - 10$

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