Chapter 1 - Section 1.1 - Linear Equations - 1.1 Assess Your Understanding - Page 90: 48

{$\frac{1}{3}$}

$x(1+2x)=(2x-1)(x-2)$ Distribute, multiply and combine like terms. $x+2x^2=2x^2-4x-x+2$ $x+2x^2=2x^2-5x+2$ $x+2x^2-2x^2=2x^2-2x^2-5x+2$ Subtract $2x^2$ from both sides. $x=-5x+2$ $x+5x=-5x+5x+2$ Add $5x$ to both sides. $6x=2$ $x=\frac{2}{6}$ Divide both sides by 6. $x=\frac{1}{3}$ Simplify. The solution is {$\frac{1}{3}$}