Q. Find the value of a.(−1−5n+an2)−(7n−4n2+9)=12n2−12n−10
Simplify Left Side: Step Title: Simplify the Left Side of the EquationConcise Step Description: Combine like terms on the left side of the equation.Step Calculation: (−1−5n+an2)−(7n−4n2+9)=−1−5n+an2−7n+4n2−9Step Output: Simplified Left Side: an2−12n+(4n2)−10
Simplify Right Side: Step Title: Simplify the Right Side of the EquationConcise Step Description: The right side of the equation is already simplified.Step Calculation: No calculation needed.Step Output: Simplified Right Side: 12n2−12n−10
Set Equal: Step Title: Set the Left Side Equal to the Right SideConcise Step Description: Set the simplified left side of the equation equal to the simplified right side.Step Calculation: an2−12n+4n2−10=12n2−12n−10Step Output: Equation Set: an2+4n2−12n−10=12n2−12n−10
Combine Like Terms: Step Title: Combine Like Terms on Both SidesConcise Step Description: Combine like terms on both sides to isolate the variable a.Step Calculation: an2+4n2=12n2 and −12n=−12n and −10=−10Step Output: Combined Like Terms: an2+4n2=12n2
Solve for a: Step Title: Solve for aConcise Step Description: Isolate the variable a by subtracting 4n2 from both sides of the equation.Step Calculation: an2+4n2−4n2=12n2−4n2Step Output: Isolated Variable: an2=8n2
Divide by n2: Step Title: Divide by n2Concise Step Description: Divide both sides of the equation by n2 to solve for a.Step Calculation: n2an2=n28n2Step Output: Solved for a: a=8