If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (5y + 2)(5y + 2) + -96 = 0 Reorder the terms: (2 + 5y)(5y + 2) + -96 = 0 Reorder the terms: (2 + 5y)(2 + 5y) + -96 = 0 Multiply (2 + 5y) * (2 + 5y) (2(2 + 5y) + 5y * (2 + 5y)) + -96 = 0 ((2 * 2 + 5y * 2) + 5y * (2 + 5y)) + -96 = 0 ((4 + 10y) + 5y * (2 + 5y)) + -96 = 0 (4 + 10y + (2 * 5y + 5y * 5y)) + -96 = 0 (4 + 10y + (10y + 25y2)) + -96 = 0 Combine like terms: 10y + 10y = 20y (4 + 20y + 25y2) + -96 = 0 Reorder the terms: 4 + -96 + 20y + 25y2 = 0 Combine like terms: 4 + -96 = -92 -92 + 20y + 25y2 = 0 Solving -92 + 20y + 25y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. -3.68 + 0.8y + y2 = 0 Move the constant term to the right: Add '3.68' to each side of the equation. -3.68 + 0.8y + 3.68 + y2 = 0 + 3.68 Reorder the terms: -3.68 + 3.68 + 0.8y + y2 = 0 + 3.68 Combine like terms: -3.68 + 3.68 = 0.00 0.00 + 0.8y + y2 = 0 + 3.68 0.8y + y2 = 0 + 3.68 Combine like terms: 0 + 3.68 = 3.68 0.8y + y2 = 3.68 The y term is 0.8y. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8y + 0.16 + y2 = 3.68 + 0.16 Reorder the terms: 0.16 + 0.8y + y2 = 3.68 + 0.16 Combine like terms: 3.68 + 0.16 = 3.84 0.16 + 0.8y + y2 = 3.84 Factor a perfect square on the left side: (y + 0.4)(y + 0.4) = 3.84 Calculate the square root of the right side: 1.959591794 Break this problem into two subproblems by setting (y + 0.4) equal to 1.959591794 and -1.959591794.Subproblem 1
y + 0.4 = 1.959591794 Simplifying y + 0.4 = 1.959591794 Reorder the terms: 0.4 + y = 1.959591794 Solving 0.4 + y = 1.959591794 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + y = 1.959591794 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + y = 1.959591794 + -0.4 y = 1.959591794 + -0.4 Combine like terms: 1.959591794 + -0.4 = 1.559591794 y = 1.559591794 Simplifying y = 1.559591794Subproblem 2
y + 0.4 = -1.959591794 Simplifying y + 0.4 = -1.959591794 Reorder the terms: 0.4 + y = -1.959591794 Solving 0.4 + y = -1.959591794 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + y = -1.959591794 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + y = -1.959591794 + -0.4 y = -1.959591794 + -0.4 Combine like terms: -1.959591794 + -0.4 = -2.359591794 y = -2.359591794 Simplifying y = -2.359591794Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.559591794, -2.359591794}
| -10.3q+1.4=-41.6-1.7q | | -3(5p+6)-2(3-17p)=3(9+6p) | | x=(ax+5)(a-4) | | -6a-8b=25 | | (y+3)(y+3)-36=0 | | -3w-3=-5(w-1) | | 8a+1=42 | | (12x+24y)+2(x+9)= | | p^2+p=342 | | 0.11x+0.5(x-1)=0.01(3x-1) | | -5(p+2)=(2p-15) | | 4tanx=3findx | | 176=x-.12x | | Z^2=-5-12i | | (x+3)(x+8)=2 | | 6(w-2)-8w=-22 | | 2x^2=169 | | 4tanx=3 | | 30n=8n | | 6-4(3-5)= | | x=.12x-176 | | (6-i)(6+i)=37 | | 3x^2+30x-5=0 | | =w+9.3 | | (2x-1)(8x+7)=0 | | 120x^3-98x^2+25x-2=0 | | 6.6p-4=7.6p-11 | | 3(3x+2)+7(2x-1)=0 | | (13c+8)(5c-2)=0 | | 324t^4-2592t^3+5220t^2-288t+576=0 | | 3d+(8d)-(-5)= | | -7.1=y+2 |