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Grouping all terms to the left side of the equation
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$8x-65-x^2=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 8x-65=x^2. Grouping all terms to the left side of the equation. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. Multiply -1 times -1. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-8 and c=65. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.