To solve this equation, we need to first simplify both sides of the equation.
Starting with the left side:-7x^2 + 13x + 9
Now, let's simplify the right side:-19 + 13xRearranging this gives us:13x - 19
Now our equation looks like this:-7x^2 + 13x + 9 = 13x - 19
Next, we will move all terms to one side of the equation to set it equal to zero:-7x^2 + 13x + 9 - 13x + 19 = 0-7x^2 + 9 + 19 = 0-7x^2 + 28 = 0
Now, we can solve for x by factoring:-7(x^2 - 4) = 0-7(x + 2)(x - 2) = 0
Setting each factor equal to zero:x + 2 = 0x = -2
and
x - 2 = 0x = 2
Therefore, the solution to the equation is x = -2 or x = 2.
To solve this equation, we need to first simplify both sides of the equation.
Starting with the left side:
-7x^2 + 13x + 9
Now, let's simplify the right side:
-19 + 13x
Rearranging this gives us:
13x - 19
Now our equation looks like this:
-7x^2 + 13x + 9 = 13x - 19
Next, we will move all terms to one side of the equation to set it equal to zero:
-7x^2 + 13x + 9 - 13x + 19 = 0
-7x^2 + 9 + 19 = 0
-7x^2 + 28 = 0
Now, we can solve for x by factoring:
-7(x^2 - 4) = 0
-7(x + 2)(x - 2) = 0
Setting each factor equal to zero:
x + 2 = 0
x = -2
and
x - 2 = 0
x = 2
Therefore, the solution to the equation is x = -2 or x = 2.