Solve for all values of xx by factoring.x, squared, minus, 14, equals, minus, 5x 2 −14=−5

The given equation is x^2 - 14 = -5x.

First, let's rearrange the equation to make it equal to zero.

x^2 + 5x - 14 = 0

Next, we factor the equation. We're looking for two numbers that multiply to -14 and add to 5. Those numbers are -2 and 7.

So, we can write the equation as:

(x - 2)(x + 7) = 0

Setting each factor equal to zero gives the solutions to the equation:

x - 2 = 0 => x = 2

x + 7 = 0 => x = -7

So, the solutions to the equation x^2 - 14 = -5x are x = 2 and x = -7.