Question Simplify the expression 8x2−12x Evaluate 4(2x2−3x)Apply the distributive property 4×2x2−4×3xMultiply the numbers 8x2−4×3xSolution 8x2−12x Show Solution Factor the expression 4x(2x−3) Evaluate 4(2x2−3x)Solution More Steps Evaluate 2x2−3xRewrite the expression x×2x−x×3Factor out x from the expression x(2x−3) 4x(2x−3) Show Solution Find the roots x1=0,x2=23Alternative Form x1=0,x2=1.5 Evaluate 4(2x2−3x)To find the roots of the expression,set the expression equal to 0 4(2x2−3x)=0Rewrite the expression 2x2−3x=0Factor the expression More Steps Evaluate 2x2−3xRewrite the expression x×2x−x×3Factor out x from the expression x(2x−3) x(2x−3)=0When the product of factors equals 0,at least one factor is 0 x=02x−3=0Solve the equation for x More Steps Evaluate 2x−3=0Move the constant to the right-hand side and change its sign 2x=0+3Removing 0 doesn't change the value,so remove it from the expression 2x=3Divide both sides 22x=23Divide the numbers x=23 x=0x=23Solution x1=0,x2=23Alternative Form x1=0,x2=1.5 Show Solution