Assignment:
![\bold{Solve \ Equation: \ x^2-28-3x}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xu92oi7w6zeuypm6uu72scheygepzinjui.png)
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Answer:
![\boxed{\bold{\left(x+4\right)\left(x-7\right)}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ptjhwi57tlvscgqllz8el4bt3bg3tyy02s.png)
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Explanation:
![\downarrow\downarrow\downarrow](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dctvxg2z0ympja3tmxxhi9zpbvh4re2ynu.png)
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[ Step One ] Write Equation In Standard Form:
![\bold{ax^2+bx+c}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7jqtacrvwpgq2psbodxuoq3cozpd056ipm.png)
![\bold{x^2-3x-28}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/78qxf5n5i4rtecd5kcgf0xh4n4uloo5g59.png)
[ Step Two ] Break Expression Into Groups
![\bold{\left(x^2+4x\right)+\left(-7x-28\right)}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3z409yiupg5lxqu2clezisiolhnlfh5ch0.png)
[ Step Three ] Factor
Factor Out
From
![\bold{x^2+4x: \ x\left(x+4\right)}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/eh66sug99vywmjsr9qvyyk9eqd7id2d9ls.png)
Factor Out
From
![\bold{-7x-28: \ -7\left(x+4\right)}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ls8gtvf80iupxdnakcppmft2y8y0uzmtpc.png)
[ Step Four ] Rewrite Equation
![\bold{x\left(x+4\right)-7\left(x+4\right)}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/glh3xw84oqklo9uu97fx4stvdeqkektf4r.png)
[ Step Five ] Factor Out Common Term
![\bold{x+4}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5znybof4yhwwv12ldzrg524nt60wmyozvb.png)
![\bold{\left(x+4\right)\left(x-7\right)}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ykmq5e6lf4eq12u2z8ltdh9vscb52xxrae.png)
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