If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3 = 1000y + -2y2 Solving 3 = 1000y + -2y2 Solving for variable 'y'. Reorder the terms: 3 + -1000y + 2y2 = 1000y + -1000y + -2y2 + 2y2 Combine like terms: 1000y + -1000y = 0 3 + -1000y + 2y2 = 0 + -2y2 + 2y2 3 + -1000y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 3 + -1000y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + -500y + y2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -500y + -1.5 + y2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -500y + y2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -500y + y2 = 0 + -1.5 -500y + y2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -500y + y2 = -1.5 The y term is -500y. Take half its coefficient (-250). Square it (62500) and add it to both sides. Add '62500' to each side of the equation. -500y + 62500 + y2 = -1.5 + 62500 Reorder the terms: 62500 + -500y + y2 = -1.5 + 62500 Combine like terms: -1.5 + 62500 = 62498.5 62500 + -500y + y2 = 62498.5 Factor a perfect square on the left side: (y + -250)(y + -250) = 62498.5 Calculate the square root of the right side: 249.996999982 Break this problem into two subproblems by setting (y + -250) equal to 249.996999982 and -249.996999982.Subproblem 1
y + -250 = 249.996999982 Simplifying y + -250 = 249.996999982 Reorder the terms: -250 + y = 249.996999982 Solving -250 + y = 249.996999982 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + y = 249.996999982 + 250 Combine like terms: -250 + 250 = 0 0 + y = 249.996999982 + 250 y = 249.996999982 + 250 Combine like terms: 249.996999982 + 250 = 499.996999982 y = 499.996999982 Simplifying y = 499.996999982Subproblem 2
y + -250 = -249.996999982 Simplifying y + -250 = -249.996999982 Reorder the terms: -250 + y = -249.996999982 Solving -250 + y = -249.996999982 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + y = -249.996999982 + 250 Combine like terms: -250 + 250 = 0 0 + y = -249.996999982 + 250 y = -249.996999982 + 250 Combine like terms: -249.996999982 + 250 = 0.003000018 y = 0.003000018 Simplifying y = 0.003000018Solution
The solution to the problem is based on the solutions from the subproblems. y = {499.996999982, 0.003000018}
| -5-5n=100 | | 6lgx=0 | | 12x+8=128 | | 3/y=1000 | | 12x+8=120 | | tan(xy)=xy | | 3x+175.5=10x-53 | | 551=-19k | | 25x^3-36x= | | 7x+29=62+2x | | 15x=150-15x | | 3-5x+4=-1+3x | | 6r=114 | | 4/5x=-40 | | 8=8n-16 | | M-21=-28 | | 1-1/7x=-8= | | -16z=-14 | | 390=13n | | x^2*x+2x=135 | | x=3y^2+18y-20 | | 45x+7=60 | | -13+2x-5=-3 | | 102x=8 | | 12x+47y=5 | | 3(5x+8)=-33 | | 4x-7(-5x+16)=122 | | 4x+(40-2x)=56 | | f(-1)=7-4x | | 5x-(6+x)=6 | | 13a=3a+5 | | 2x-y+3Z=12 |