# Simplify 12-x-(x^2)÷5x^2+30x+40

12-x-x2÷5×2+30x+40
Simplify each term.
Rewrite the division as a fraction.
12-x-x25x2+30x+40
Cancel the common factor of x2.
Cancel the common factor.
12-x-x25x2+30x+40
Rewrite the expression.
12-x-15+30x+40
12-x-15+30x+40
12-x-15+30x+40
Find the common denominator.
Write 12 as a fraction with denominator 1.
121-x-15+30x+40
Multiply 121 by 55.
121⋅55-x-15+30x+40
Multiply 121 and 55.
12⋅55-x-15+30x+40
Write -x as a fraction with denominator 1.
12⋅55+-x1-15+30x+40
Multiply -x1 by 55.
12⋅55+-x1⋅55-15+30x+40
Multiply -x1 and 55.
12⋅55+-x⋅55-15+30x+40
Write 30x as a fraction with denominator 1.
12⋅55+-x⋅55-15+30×1+40
Multiply 30×1 by 55.
12⋅55+-x⋅55-15+30×1⋅55+40
Multiply 30×1 and 55.
12⋅55+-x⋅55-15+30x⋅55+40
Write 40 as a fraction with denominator 1.
12⋅55+-x⋅55-15+30x⋅55+401
Multiply 401 by 55.
12⋅55+-x⋅55-15+30x⋅55+401⋅55
Multiply 401 and 55.
12⋅55+-x⋅55-15+30x⋅55+40⋅55
12⋅55+-x⋅55-15+30x⋅55+40⋅55
Combine fractions with similar denominators.
12⋅5-x⋅5-1+30x⋅5+40⋅55
Simplify the expression.
Multiply 12 by 5.
60-x⋅5-1+30x⋅5+40⋅55
Multiply 40 by 5.
60-x⋅5-1+30x⋅5+2005
Subtract 1 from 60.
-x⋅5+59+30x⋅5+2005
-x⋅5+59+30x⋅5+2005
29x⋅5+59+2005
Simplify the expression.