If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 100 = 60Q + Q2 Solving 100 = 60Q + Q2 Solving for variable 'Q'. Reorder the terms: 100 + -60Q + -1Q2 = 60Q + -60Q + Q2 + -1Q2 Combine like terms: 60Q + -60Q = 0 100 + -60Q + -1Q2 = 0 + Q2 + -1Q2 100 + -60Q + -1Q2 = Q2 + -1Q2 Combine like terms: Q2 + -1Q2 = 0 100 + -60Q + -1Q2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -100 + 60Q + Q2 = 0 Move the constant term to the right: Add '100' to each side of the equation. -100 + 60Q + 100 + Q2 = 0 + 100 Reorder the terms: -100 + 100 + 60Q + Q2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 60Q + Q2 = 0 + 100 60Q + Q2 = 0 + 100 Combine like terms: 0 + 100 = 100 60Q + Q2 = 100 The Q term is 60Q. Take half its coefficient (30). Square it (900) and add it to both sides. Add '900' to each side of the equation. 60Q + 900 + Q2 = 100 + 900 Reorder the terms: 900 + 60Q + Q2 = 100 + 900 Combine like terms: 100 + 900 = 1000 900 + 60Q + Q2 = 1000 Factor a perfect square on the left side: (Q + 30)(Q + 30) = 1000 Calculate the square root of the right side: 31.622776602 Break this problem into two subproblems by setting (Q + 30) equal to 31.622776602 and -31.622776602.Subproblem 1
Q + 30 = 31.622776602 Simplifying Q + 30 = 31.622776602 Reorder the terms: 30 + Q = 31.622776602 Solving 30 + Q = 31.622776602 Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + Q = 31.622776602 + -30 Combine like terms: 30 + -30 = 0 0 + Q = 31.622776602 + -30 Q = 31.622776602 + -30 Combine like terms: 31.622776602 + -30 = 1.622776602 Q = 1.622776602 Simplifying Q = 1.622776602Subproblem 2
Q + 30 = -31.622776602 Simplifying Q + 30 = -31.622776602 Reorder the terms: 30 + Q = -31.622776602 Solving 30 + Q = -31.622776602 Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + Q = -31.622776602 + -30 Combine like terms: 30 + -30 = 0 0 + Q = -31.622776602 + -30 Q = -31.622776602 + -30 Combine like terms: -31.622776602 + -30 = -61.622776602 Q = -61.622776602 Simplifying Q = -61.622776602Solution
The solution to the problem is based on the solutions from the subproblems. Q = {1.622776602, -61.622776602}
| -x^2-3xy+4y^3= | | 112=7x | | (8+x)3+14=20 | | x^2-3xy+4y^3= | | -14-2x+4=-4 | | 0=d^2+12d+20 | | 9(m+3)+4(6m-8)=32(m-1)3 | | 4v-6=2 | | 2(3x-3.2)=9x-6.4 | | r^2+5r-42=0 | | X+(x+6)=36 | | 2u-4=2u+6 | | -0.6a+5-2a= | | 4d=-28 | | 9c^2-c=0 | | 8x+11-1x=-31 | | 60=5c | | x+2y=-2-9x+9y=18 | | -2-5(-4n+5)=-4(n-3)+5 | | 7p=4+2(5) | | 9x^3-24x=30x^2 | | p/3=-21 | | 100g+8=300 | | 2(n-6)=3n | | 2x(4+3)=x-6 | | 1=6x-4x+1 | | x=3/10*(180-x)-11 | | 18x+-36=18y | | 5t^2-16t-16=0 | | 6(x+2)+x= | | X+(x+8)=42 | | 14-4x+x=1 |