If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7 + -1y2 + 2y + 8y2 = -5y + 6 + 5y2 Reorder the terms: 7 + 2y + -1y2 + 8y2 = -5y + 6 + 5y2 Combine like terms: -1y2 + 8y2 = 7y2 7 + 2y + 7y2 = -5y + 6 + 5y2 Reorder the terms: 7 + 2y + 7y2 = 6 + -5y + 5y2 Solving 7 + 2y + 7y2 = 6 + -5y + 5y2 Solving for variable 'y'. Reorder the terms: 7 + -6 + 2y + 5y + 7y2 + -5y2 = 6 + -5y + 5y2 + -6 + 5y + -5y2 Combine like terms: 7 + -6 = 1 1 + 2y + 5y + 7y2 + -5y2 = 6 + -5y + 5y2 + -6 + 5y + -5y2 Combine like terms: 2y + 5y = 7y 1 + 7y + 7y2 + -5y2 = 6 + -5y + 5y2 + -6 + 5y + -5y2 Combine like terms: 7y2 + -5y2 = 2y2 1 + 7y + 2y2 = 6 + -5y + 5y2 + -6 + 5y + -5y2 Reorder the terms: 1 + 7y + 2y2 = 6 + -6 + -5y + 5y + 5y2 + -5y2 Combine like terms: 6 + -6 = 0 1 + 7y + 2y2 = 0 + -5y + 5y + 5y2 + -5y2 1 + 7y + 2y2 = -5y + 5y + 5y2 + -5y2 Combine like terms: -5y + 5y = 0 1 + 7y + 2y2 = 0 + 5y2 + -5y2 1 + 7y + 2y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 1 + 7y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + 3.5y + y2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 3.5y + -0.5 + y2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 3.5y + y2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 3.5y + y2 = 0 + -0.5 3.5y + y2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 3.5y + y2 = -0.5 The y term is 3.5y. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5y + 3.0625 + y2 = -0.5 + 3.0625 Reorder the terms: 3.0625 + 3.5y + y2 = -0.5 + 3.0625 Combine like terms: -0.5 + 3.0625 = 2.5625 3.0625 + 3.5y + y2 = 2.5625 Factor a perfect square on the left side: (y + 1.75)(y + 1.75) = 2.5625 Calculate the square root of the right side: 1.600781059 Break this problem into two subproblems by setting (y + 1.75) equal to 1.600781059 and -1.600781059.Subproblem 1
y + 1.75 = 1.600781059 Simplifying y + 1.75 = 1.600781059 Reorder the terms: 1.75 + y = 1.600781059 Solving 1.75 + y = 1.600781059 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + y = 1.600781059 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + y = 1.600781059 + -1.75 y = 1.600781059 + -1.75 Combine like terms: 1.600781059 + -1.75 = -0.149218941 y = -0.149218941 Simplifying y = -0.149218941Subproblem 2
y + 1.75 = -1.600781059 Simplifying y + 1.75 = -1.600781059 Reorder the terms: 1.75 + y = -1.600781059 Solving 1.75 + y = -1.600781059 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + y = -1.600781059 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + y = -1.600781059 + -1.75 y = -1.600781059 + -1.75 Combine like terms: -1.600781059 + -1.75 = -3.350781059 y = -3.350781059 Simplifying y = -3.350781059Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.149218941, -3.350781059}
| 3m^2-20m+12=0 | | y=2x^2-11x-6 | | -2(5y+3)-9y-13= | | -x-(13+4x)=3(5-9x)+2 | | 3y^2-x-4y+4=0 | | 9p=54 | | 2x^2-12x-20=0 | | 35=5d | | 11q=88 | | 9n^2+36n+11=0 | | x(x-1)=72 | | 12=a-54 | | 3x-2(5x+5)= | | y-7=29 | | w-19=9 | | -8x+6=6 | | 8x^2-57x+7=0 | | r-3=25 | | 16d^2+32d+15=0 | | 28n^2+49n=0 | | 9y^2-12y+4= | | 32-16k^2=0 | | 9y^2-12y+4=what | | 8a-10=13(a-3) | | 4x+2(x+1)=17-3(x+2) | | 4x-316=-4y | | 36x^2+36x-7=0 | | 4x^2+18x+189=0 | | log(5x)+log(x-1)=2 | | 3(4x-2)+15=12x+9 | | 13a-2=18(a-2) | | 7c^2-8c+1=0 |