If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8y2 + -37y + -395 = 0 Reorder the terms: -395 + -37y + 8y2 = 0 Solving -395 + -37y + 8y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -49.375 + -4.625y + y2 = 0 Move the constant term to the right: Add '49.375' to each side of the equation. -49.375 + -4.625y + 49.375 + y2 = 0 + 49.375 Reorder the terms: -49.375 + 49.375 + -4.625y + y2 = 0 + 49.375 Combine like terms: -49.375 + 49.375 = 0.000 0.000 + -4.625y + y2 = 0 + 49.375 -4.625y + y2 = 0 + 49.375 Combine like terms: 0 + 49.375 = 49.375 -4.625y + y2 = 49.375 The y term is -4.625y. Take half its coefficient (-2.3125). Square it (5.34765625) and add it to both sides. Add '5.34765625' to each side of the equation. -4.625y + 5.34765625 + y2 = 49.375 + 5.34765625 Reorder the terms: 5.34765625 + -4.625y + y2 = 49.375 + 5.34765625 Combine like terms: 49.375 + 5.34765625 = 54.72265625 5.34765625 + -4.625y + y2 = 54.72265625 Factor a perfect square on the left side: (y + -2.3125)(y + -2.3125) = 54.72265625 Calculate the square root of the right side: 7.397476343 Break this problem into two subproblems by setting (y + -2.3125) equal to 7.397476343 and -7.397476343.Subproblem 1
y + -2.3125 = 7.397476343 Simplifying y + -2.3125 = 7.397476343 Reorder the terms: -2.3125 + y = 7.397476343 Solving -2.3125 + y = 7.397476343 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.3125' to each side of the equation. -2.3125 + 2.3125 + y = 7.397476343 + 2.3125 Combine like terms: -2.3125 + 2.3125 = 0.0000 0.0000 + y = 7.397476343 + 2.3125 y = 7.397476343 + 2.3125 Combine like terms: 7.397476343 + 2.3125 = 9.709976343 y = 9.709976343 Simplifying y = 9.709976343Subproblem 2
y + -2.3125 = -7.397476343 Simplifying y + -2.3125 = -7.397476343 Reorder the terms: -2.3125 + y = -7.397476343 Solving -2.3125 + y = -7.397476343 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.3125' to each side of the equation. -2.3125 + 2.3125 + y = -7.397476343 + 2.3125 Combine like terms: -2.3125 + 2.3125 = 0.0000 0.0000 + y = -7.397476343 + 2.3125 y = -7.397476343 + 2.3125 Combine like terms: -7.397476343 + 2.3125 = -5.084976343 y = -5.084976343 Simplifying y = -5.084976343Solution
The solution to the problem is based on the solutions from the subproblems. y = {9.709976343, -5.084976343}
| 3p+15=21p-3 | | 225=2*a*100 | | -(1+7x)-6(-7-3)= | | .327-.25x=.5x-.75 | | 6x+15=6x-17 | | 4x+5=6y | | m-5.51=4.4 | | 6x+15=-6x-17 | | 4(x-r)=2x+10r | | -5.5c-8.5+5=24.5 | | 9-4n=45 | | 2x=-6x | | 13x+3=180 | | 0=-x-5 | | H+5h+9=57 | | -16t^2+64t+32=0 | | 16=2x+y | | 7(x-6)+6=x+9 | | -6(6+6x)=20-8x | | D-75=98 | | 5-3x-9=-5 | | 7+2x=4x-9 | | 3(-3x+10)=-2(x+6) | | 5(t-6)=6 | | 14x-6+2x-3=13x-3+2x | | f(5)=4(5)-7 | | y^2-4xy+8=0 | | .20(16-b)+1.00b=.30(16) | | 4+3x=5x-6 | | 6(x-2)+4=x+5 | | 7d+4=2d+14 | | 23-(-45)= |