Final answer:To solve 8x = -4 - 4x^2 by graphing, rearrange the equation, graph the corresponding function, and find the x-intercepts.Explanation:To solve the equation 8x = -4 - 4x^2 by graphing, we first need to rearrange it in the form of y = f(x).Start by isolating the x terms on one side:8x + 4x^2 = -44x^2 + 8x + 4 = 0Next, we graph the equation y = 4x^2 + 8x + 4. By finding the x-intercepts of the graph, we can determine the solutions of the equation.The graph of the equation is a parabola that opens upward. To find the x-intercepts, we set y = 0:4x^2 + 8x + 4 = 0By factoring, we can rewrite the equation as:4(x^2 + 2x + 1) = 04(x + 1)^2 = 0Setting each factor equal to zero, we find that x + 1 = 0. Solving for x, we get:x = -1Therefore, the solution to the equation 8x = -4 - 4x^2 by graphing is x = -1.Learn more about Solving equations by graphing here:brainly.com/question/29864841...

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