If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y = 85 + 0.5y(-40 + 0.25y) + 90 + 61 y = 85 + (-40 * 0.5y + 0.25y * 0.5y) + 90 + 61 y = 85 + (-20y + 0.125y2) + 90 + 61 Reorder the terms: y = 85 + 90 + 61 + -20y + 0.125y2 Combine like terms: 85 + 90 = 175 y = 175 + 61 + -20y + 0.125y2 Combine like terms: 175 + 61 = 236 y = 236 + -20y + 0.125y2 Solving y = 236 + -20y + 0.125y2 Solving for variable 'y'. Reorder the terms: -236 + y + 20y + -0.125y2 = 236 + -20y + 0.125y2 + -236 + 20y + -0.125y2 Combine like terms: y + 20y = 21y -236 + 21y + -0.125y2 = 236 + -20y + 0.125y2 + -236 + 20y + -0.125y2 Reorder the terms: -236 + 21y + -0.125y2 = 236 + -236 + -20y + 20y + 0.125y2 + -0.125y2 Combine like terms: 236 + -236 = 0 -236 + 21y + -0.125y2 = 0 + -20y + 20y + 0.125y2 + -0.125y2 -236 + 21y + -0.125y2 = -20y + 20y + 0.125y2 + -0.125y2 Combine like terms: -20y + 20y = 0 -236 + 21y + -0.125y2 = 0 + 0.125y2 + -0.125y2 -236 + 21y + -0.125y2 = 0.125y2 + -0.125y2 Combine like terms: 0.125y2 + -0.125y2 = 0.000 -236 + 21y + -0.125y2 = 0.000 Begin completing the square. Divide all terms by -0.125 the coefficient of the squared term: Divide each side by '-0.125'. 1888 + -168y + y2 = 0 Move the constant term to the right: Add '-1888' to each side of the equation. 1888 + -168y + -1888 + y2 = 0 + -1888 Reorder the terms: 1888 + -1888 + -168y + y2 = 0 + -1888 Combine like terms: 1888 + -1888 = 0 0 + -168y + y2 = 0 + -1888 -168y + y2 = 0 + -1888 Combine like terms: 0 + -1888 = -1888 -168y + y2 = -1888 The y term is -168y. Take half its coefficient (-84). Square it (7056) and add it to both sides. Add '7056' to each side of the equation. -168y + 7056 + y2 = -1888 + 7056 Reorder the terms: 7056 + -168y + y2 = -1888 + 7056 Combine like terms: -1888 + 7056 = 5168 7056 + -168y + y2 = 5168 Factor a perfect square on the left side: (y + -84)(y + -84) = 5168 Calculate the square root of the right side: 71.888803022 Break this problem into two subproblems by setting (y + -84) equal to 71.888803022 and -71.888803022.Subproblem 1
y + -84 = 71.888803022 Simplifying y + -84 = 71.888803022 Reorder the terms: -84 + y = 71.888803022 Solving -84 + y = 71.888803022 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + y = 71.888803022 + 84 Combine like terms: -84 + 84 = 0 0 + y = 71.888803022 + 84 y = 71.888803022 + 84 Combine like terms: 71.888803022 + 84 = 155.888803022 y = 155.888803022 Simplifying y = 155.888803022Subproblem 2
y + -84 = -71.888803022 Simplifying y + -84 = -71.888803022 Reorder the terms: -84 + y = -71.888803022 Solving -84 + y = -71.888803022 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + y = -71.888803022 + 84 Combine like terms: -84 + 84 = 0 0 + y = -71.888803022 + 84 y = -71.888803022 + 84 Combine like terms: -71.888803022 + 84 = 12.111196978 y = 12.111196978 Simplifying y = 12.111196978Solution
The solution to the problem is based on the solutions from the subproblems. y = {155.888803022, 12.111196978}
| 5(x-9)=6+x | | -9-16=a | | Y=3x^2+24x-42 | | 18b^2+33b-105=0 | | -15/14/10/21= | | 8-11/4x=21/4x | | 76-4x=23x+19 | | 3/5*45 | | 5(4x+4)=-60 | | x^2+4x-80= | | 3/5n+9=36 | | 5x-107=-11x+85 | | 4+3x/7+2-x/3=8/21 | | 5-(-18t+6)=(14-18t) | | 0.4x+3.1=2.5 | | y=85+.5(y-t)+90+61 | | 5(7g+9)= | | 5+.50x=1 | | -33+6x=27+2x | | 5+.50*-12=1 | | -4p-6=5(9p-10)+6(-3-8p) | | 8=1-x | | -5/6/62/3*8/9 | | 2x-6=(4x/5) | | 21/4x=11/4x-8 | | 2q-7=18+12q | | -3x-84=-11x+116 | | 65-5x=4x+21 | | 10x+19=2x+187 | | x7/x3 | | 3/5n=27 | | 97-3x=15x+17 |