If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 22.5(10 + -1y) * 27.5y = 250 Reorder the terms for easier multiplication: 22.5 * 27.5y(10 + -1y) = 250 Multiply 22.5 * 27.5 618.75y(10 + -1y) = 250 (10 * 618.75y + -1y * 618.75y) = 250 (6187.5y + -618.75y2) = 250 Solving 6187.5y + -618.75y2 = 250 Solving for variable 'y'. Reorder the terms: -250 + 6187.5y + -618.75y2 = 250 + -250 Combine like terms: 250 + -250 = 0 -250 + 6187.5y + -618.75y2 = 0 Begin completing the square. Divide all terms by -618.75 the coefficient of the squared term: Divide each side by '-618.75'. 0.404040404 + -10y + y2 = 0 Move the constant term to the right: Add '-0.404040404' to each side of the equation. 0.404040404 + -10y + -0.404040404 + y2 = 0 + -0.404040404 Reorder the terms: 0.404040404 + -0.404040404 + -10y + y2 = 0 + -0.404040404 Combine like terms: 0.404040404 + -0.404040404 = 0.000000000 0.000000000 + -10y + y2 = 0 + -0.404040404 -10y + y2 = 0 + -0.404040404 Combine like terms: 0 + -0.404040404 = -0.404040404 -10y + y2 = -0.404040404 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = -0.404040404 + 25 Reorder the terms: 25 + -10y + y2 = -0.404040404 + 25 Combine like terms: -0.404040404 + 25 = 24.595959596 25 + -10y + y2 = 24.595959596 Factor a perfect square on the left side: (y + -5)(y + -5) = 24.595959596 Calculate the square root of the right side: 4.959431378 Break this problem into two subproblems by setting (y + -5) equal to 4.959431378 and -4.959431378.Subproblem 1
y + -5 = 4.959431378 Simplifying y + -5 = 4.959431378 Reorder the terms: -5 + y = 4.959431378 Solving -5 + y = 4.959431378 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = 4.959431378 + 5 Combine like terms: -5 + 5 = 0 0 + y = 4.959431378 + 5 y = 4.959431378 + 5 Combine like terms: 4.959431378 + 5 = 9.959431378 y = 9.959431378 Simplifying y = 9.959431378Subproblem 2
y + -5 = -4.959431378 Simplifying y + -5 = -4.959431378 Reorder the terms: -5 + y = -4.959431378 Solving -5 + y = -4.959431378 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = -4.959431378 + 5 Combine like terms: -5 + 5 = 0 0 + y = -4.959431378 + 5 y = -4.959431378 + 5 Combine like terms: -4.959431378 + 5 = 0.040568622 y = 0.040568622 Simplifying y = 0.040568622Solution
The solution to the problem is based on the solutions from the subproblems. y = {9.959431378, 0.040568622}
| ln(2x+5)=2.5 | | 7lnx-(1/5)lny | | 4(x-2)=11 | | x^2+y^2-10x+4y-1=0 | | 6x+7=6(x-7) | | 5(1-x)=1-x-4(x-1) | | Log(4x+4)=1+log(x-3) | | M(x)=-x^2-27 | | 4x+20=6+6x | | x/2-16=2 | | 4x+20x=6+6x | | 5x+13=12x-1 | | H(x)=2x^2+72 | | -20c^2+50c=8c^3 | | 5x+12x+8=0 | | 7+35x=21x+31 | | -4(2x+6)=47 | | 5/8m=7/8 | | -2(4K+8)=-8(K+2) | | 11x+3/2=4x-3 | | 128=-8+4(4x+6) | | (3w+7)+(7w+8)= | | ln(x)+ln(2x)=ln(3x) | | 11x-3=2(5x+4)-5 | | 5(1-x)=3-4(3x-7) | | 2z+1+4z-5+w+3+4w=180 | | -5(2x+4)=2x+4 | | X+(x+10)+(X+20)+(x+30)=4446 | | Y-1=5/6(x-4) | | x=6+2i | | Log1/5x | | 3/2-3(x-5)/4=-4(x-1) |