Keep these rules in mind:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- (a + b)(a - b) = a² - b²
Firstly, solve the exponent and multiplication:
[tex]4x^2-20x+25-0.5x<4x^2-1-15[/tex]
Next, combine like terms:
[tex]4x^2-20.5x+25<4x^2-16[/tex]
Next, subtract 4x² on both sides:
[tex]-20.5x+25<-16[/tex]
Next, subtract 25 on both sides:
[tex]-20.5x<-41[/tex]
Lastly, divide both sides by -20.5. And since you are dividing by a negative, flip the inequality sign:
[tex]x>2[/tex]
Your answer is x > 2.
