Final answer to the problem
Step-by-step Solution
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Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side
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$x^2+4x-7x=-8$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+4x=7x-8. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Combining like terms 4x and -7x. Factor the polynomial x^2-3x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -3. Now, we can factor x^2+-3x+\frac{9}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.