Solve the equation by factoring.
`x^{2}+7x-30=0`
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To solve the equation `x^2 + 7x - 30 = 0` by factoring, we want to find two numbers whose sum is 7 and whose product is -30.
The numbers that fit these criteria are 10 and -3.
So we can rewrite the equation as:
`(x + 10)(x - 3) = 0`
To find the values of x, we set each factor equal to zero:
`x + 10 = 0` or `x - 3 = 0`
Solving each equation, we find:
`x = -10` or `x = 3`
Therefore, the solutions to the equation `x^2 + 7x - 30 = 0` are x = -10 and x = 3.