If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4y + 11)(4y + 11) = 27 Reorder the terms: (11 + 4y)(4y + 11) = 27 Reorder the terms: (11 + 4y)(11 + 4y) = 27 Multiply (11 + 4y) * (11 + 4y) (11(11 + 4y) + 4y * (11 + 4y)) = 27 ((11 * 11 + 4y * 11) + 4y * (11 + 4y)) = 27 ((121 + 44y) + 4y * (11 + 4y)) = 27 (121 + 44y + (11 * 4y + 4y * 4y)) = 27 (121 + 44y + (44y + 16y2)) = 27 Combine like terms: 44y + 44y = 88y (121 + 88y + 16y2) = 27 Solving 121 + 88y + 16y2 = 27 Solving for variable 'y'. Reorder the terms: 121 + -27 + 88y + 16y2 = 27 + -27 Combine like terms: 121 + -27 = 94 94 + 88y + 16y2 = 27 + -27 Combine like terms: 27 + -27 = 0 94 + 88y + 16y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(47 + 44y + 8y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(47 + 44y + 8y2)' equal to zero and attempt to solve: Simplifying 47 + 44y + 8y2 = 0 Solving 47 + 44y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 5.875 + 5.5y + y2 = 0 Move the constant term to the right: Add '-5.875' to each side of the equation. 5.875 + 5.5y + -5.875 + y2 = 0 + -5.875 Reorder the terms: 5.875 + -5.875 + 5.5y + y2 = 0 + -5.875 Combine like terms: 5.875 + -5.875 = 0.000 0.000 + 5.5y + y2 = 0 + -5.875 5.5y + y2 = 0 + -5.875 Combine like terms: 0 + -5.875 = -5.875 5.5y + y2 = -5.875 The y term is 5.5y. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5y + 7.5625 + y2 = -5.875 + 7.5625 Reorder the terms: 7.5625 + 5.5y + y2 = -5.875 + 7.5625 Combine like terms: -5.875 + 7.5625 = 1.6875 7.5625 + 5.5y + y2 = 1.6875 Factor a perfect square on the left side: (y + 2.75)(y + 2.75) = 1.6875 Calculate the square root of the right side: 1.299038106 Break this problem into two subproblems by setting (y + 2.75) equal to 1.299038106 and -1.299038106.Subproblem 1
y + 2.75 = 1.299038106 Simplifying y + 2.75 = 1.299038106 Reorder the terms: 2.75 + y = 1.299038106 Solving 2.75 + y = 1.299038106 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + y = 1.299038106 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + y = 1.299038106 + -2.75 y = 1.299038106 + -2.75 Combine like terms: 1.299038106 + -2.75 = -1.450961894 y = -1.450961894 Simplifying y = -1.450961894Subproblem 2
y + 2.75 = -1.299038106 Simplifying y + 2.75 = -1.299038106 Reorder the terms: 2.75 + y = -1.299038106 Solving 2.75 + y = -1.299038106 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + y = -1.299038106 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + y = -1.299038106 + -2.75 y = -1.299038106 + -2.75 Combine like terms: -1.299038106 + -2.75 = -4.049038106 y = -4.049038106 Simplifying y = -4.049038106Solution
The solution to the problem is based on the solutions from the subproblems. y = {-1.450961894, -4.049038106}Solution
y = {-1.450961894, -4.049038106}
| 9(2x+8)=20-5-x | | 16+2x=-6 | | 4(x-3)+2=2x-(x-1) | | x^3=111 | | 180=(3x+50)+(4x+32) | | 4x+16=8(x+2)-4x | | 7.4p-5.3p-9.2p=-2.6 | | 9x^2-13x=-40 | | Y+9=-22 | | 5-3x=23 | | x^2+18x+3=0 | | 0.4(x+40)+0.2x=25 | | 10x+6-3=4x+54 | | 3(9-5)=2(9+5) | | -2(m-2)+4=2(m+1)-m | | -2x+4(-8x+1)=4+7x | | 8(x+5)-(3x-1)=8 | | 6x+9-4(x+1)=5x+7 | | 140=(11x-9)+(5x+5) | | 140=(11x-9)+(5x+x) | | 13-5x=-6(-8+2x) | | -1.6-9.9x-8.3x=13.712-8.8x-10.6x | | 2.3-3.2+4.1=-6 | | 3f+2-7-10f+12= | | 5x+6x-9=68 | | 9y-187+11y-253=180 | | 22+2a=-6-2(a+2) | | 4n-9=52 | | 6*x^2-60*x+114=0 | | -1.6-9.9x-8.3x=13.712-8.8-10.6x | | 6x+9-4(x-1)=5x+7 | | -2(-g+20)= |