Question

X^2-14x=-49

Method 1:Factoring

I’m confused how on earth to do this? If someone could explain I would love that

Answer 1

Explanation:

Move terms to the left side

`x {}^(2) - 14x = - 49`

`x {}^(2) - 14x - ( - 49) = 0`

Use sum-product pattern

Identify a, b and c in your equation and then find two numbers that when multiplied equal c, and when added equal b.

`x {}^(2) - 14x + 49 = 0`

factor

Write your equation in factored form.

`(x - 7) {}^(2) = 0`

Set the factor(s) equal to zero

Here the two factors are the same, so there will be only one solution.

`x - 7 = 0`

Solve

Rearrange and isolate the variable to find each solution.

`x = 7`