How to Solve a Linear Equation Solve for No Solutions

robothawk

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Sep 24, 2017
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[FONT=KaTeX_Main][/FONT][FONT=KaTeX_Main]4[/FONT][FONT=KaTeX_Main]+[/FONT][FONT=KaTeX_Math]b[/FONT][FONT=KaTeX_Math]x[/FONT][FONT=KaTeX_Main]=[/FONT][FONT=KaTeX_Main]2[/FONT][FONT=KaTeX_Math]x[/FONT][FONT=KaTeX_Main]+[/FONT][FONT=KaTeX_Main]3[/FONT][FONT=KaTeX_Main]([/FONT][FONT=KaTeX_Math]x[/FONT][FONT=KaTeX_Main]+[/FONT][FONT=KaTeX_Main]1[/FONT][FONT=KaTeX_Main])

I came across this problem prepping for my SAT and I have absolutely no idea how to solve it even slightly without working through all the possible multiple choice answers.
I need to find what b must equal for there to be no solutions to the equation. I'm way out of practice for math since my last was Pre-Calc, so I've forgotten a good bit of it.

Any help is greatly appreciated, thank you.[/FONT]
 
Well, better get up to speed.

[FONT=KaTeX_Main][/FONT][FONT=KaTeX_Main]4[/FONT][FONT=KaTeX_Main]+[/FONT][FONT=KaTeX_Math]b[/FONT][FONT=KaTeX_Math]x[/FONT][FONT=KaTeX_Main]=[/FONT][FONT=KaTeX_Main]2[/FONT][FONT=KaTeX_Math]x[/FONT][FONT=KaTeX_Main]+[/FONT][FONT=KaTeX_Main]3[/FONT][FONT=KaTeX_Main]([/FONT][FONT=KaTeX_Math]x[/FONT][FONT=KaTeX_Main]+[/FONT][FONT=KaTeX_Main]1[/FONT][FONT=KaTeX_Main])

What do you get when you solve for x?[/FONT]
 
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