How do you solve $x^{2} + 14 x = - 49$ $x^2+14x=-49$ ?

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How do you solve $x^{2} + 14 x = - 49$ $x^2+14x=-49$ ?

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Answer 1 · 2016-04-06T20:29:03

$x = - 7$ $x=-7$

Explanation:

$XXX x^{2} + 14 x = - 49$ $color(white)("XXX")x^2+14x=-49$
is equivalent to
$XXX x^{2} + 14 x + 49 = 0$ $color(white)("XXX")x^2+14x+49=0$
which can be factored as
$XXX (x + 7) (x + 7) = 0$ $color(white)("XXX")(x+7)(x+7)=0$
which can only be true if
$XXX (x + 7) = 0$ $color(white)("XXX")(x+7)=0$
$XXX \to x = - 7$ $color(white)("XXX")rarr x=-7$

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How do you solve $x^{2} + 14 x = - 49$ $x^2+14x=-49$ ?

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How do you solve $x^{2} + 14 x = - 49$ $x^2+14x=-49$ ?