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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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$5x^2+7x=\frac{4}{5}-10$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x^2+7x+10=4/5. 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. Subtract the values \frac{4}{5} and -10. Rewrite the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=5, b=7 and c=\frac{46}{5}. Then substitute the values of the coefficients of the equation in the quadratic formula:<ul><li>\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</li></ul>.