If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.002Q2 + 0.5Q = 11.25 Reorder the terms: 0.5Q + -0.002Q2 = 11.25 Solving 0.5Q + -0.002Q2 = 11.25 Solving for variable 'Q'. Reorder the terms: -11.25 + 0.5Q + -0.002Q2 = 11.25 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 -11.25 + 0.5Q + -0.002Q2 = 0.00 Begin completing the square. Divide all terms by -0.002 the coefficient of the squared term: Divide each side by '-0.002'. 5625 + -250Q + Q2 = 0 Move the constant term to the right: Add '-5625' to each side of the equation. 5625 + -250Q + -5625 + Q2 = 0 + -5625 Reorder the terms: 5625 + -5625 + -250Q + Q2 = 0 + -5625 Combine like terms: 5625 + -5625 = 0 0 + -250Q + Q2 = 0 + -5625 -250Q + Q2 = 0 + -5625 Combine like terms: 0 + -5625 = -5625 -250Q + Q2 = -5625 The Q term is -250Q. Take half its coefficient (-125). Square it (15625) and add it to both sides. Add '15625' to each side of the equation. -250Q + 15625 + Q2 = -5625 + 15625 Reorder the terms: 15625 + -250Q + Q2 = -5625 + 15625 Combine like terms: -5625 + 15625 = 10000 15625 + -250Q + Q2 = 10000 Factor a perfect square on the left side: (Q + -125)(Q + -125) = 10000 Calculate the square root of the right side: 100 Break this problem into two subproblems by setting (Q + -125) equal to 100 and -100.Subproblem 1
Q + -125 = 100 Simplifying Q + -125 = 100 Reorder the terms: -125 + Q = 100 Solving -125 + Q = 100 Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + Q = 100 + 125 Combine like terms: -125 + 125 = 0 0 + Q = 100 + 125 Q = 100 + 125 Combine like terms: 100 + 125 = 225 Q = 225 Simplifying Q = 225Subproblem 2
Q + -125 = -100 Simplifying Q + -125 = -100 Reorder the terms: -125 + Q = -100 Solving -125 + Q = -100 Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + Q = -100 + 125 Combine like terms: -125 + 125 = 0 0 + Q = -100 + 125 Q = -100 + 125 Combine like terms: -100 + 125 = 25 Q = 25 Simplifying Q = 25Solution
The solution to the problem is based on the solutions from the subproblems. Q = {225, 25}
| 5x=2x+81 | | 40-3x=6x+19 | | 2002=0.03x-58.45 | | 45=4x+9 | | 10.4x+56.35=-9.6x+56.03 | | 4x(3x-21)=0 | | 79-3x=15x+17 | | 10.4x+56.53=-9.6x+56.03 | | 133-5x=5x+23 | | 7.1x-3.1=18.2 | | 100-5x=40x+20 | | 2z+10=6z | | 49y^2-56yu+16u^2= | | -7(t-5)-(t+4)=11 | | 2x-24=30 | | -3(m+7)=68 | | 81u^2+36uy+4y^2= | | 2x(x+y-1)-3y(2x+3y+5)= | | 7+7(x-5)=7-2(x-5) | | 5x^2+25=25 | | -3m+7-68=0 | | 49y^2+56y+16= | | (3a^2c-4a+3c^2)-(2a^2c+a-5c^2)= | | 2(x-10)=20 | | (X+4)(x+2)=35 | | 25w^2+30w+9= | | 36w^2-12w+1= | | (3a^2b^2+2ab^2-2a^2b+3ab)-(3ab^2+ab-3)= | | 9k-m=7 | | 4v^2+28v+49= | | 15y+5(y-5)=415 | | -1=-5v+2(v-5) |