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1

Example

$6\geq +x\left(5-x\right)$
2

Multiply $\left(5+-x\right)$ by $x$

$6\geq -x^2+5x$
3

Grouping terms

$x^2+6\geq 5x$
4

Grouping terms

$-5x+x^2+6\geq $
5

Moving the term $6$ to the other side of the inequation with opposite sign

$x^2-5x\geq -6$
6

Rewrite the inequation

$\left(-6\right)\left(-1\right)-5x+x^2\geq 0$
7

Multiply $\left(+-6\right)$ by $-1$

$-5x+x^2+6-1\geq 0$
8

Moving the term $6$ to the other side of the inequation with opposite sign

$-5x+x^2-1\geq -6$
9

Moving the term $-1$ to the other side of the inequation with opposite sign

$x^2-5x\geq -6$

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