Final Answer
$x=\frac{1+\sqrt{21}}{2},\:x=\frac{1-\sqrt{21}}{2}$
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Step-by-step Solution
Problem to solve:
$5x=x^2+4x-5$
Specify the solving method
1
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
$5x-x^2-4x=-5$
Learn how to solve quadratic equations problems step by step online.
$5x-x^2-4x=-5$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x=x^2+4x-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. Combining like terms 5x and -4x. Rewrite the equation. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1.
Final Answer
$x=\frac{1+\sqrt{21}}{2},\:x=\frac{1-\sqrt{21}}{2}$