If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 4y + -53 = 0 Reorder the terms: -53 + 4y + y2 = 0 Solving -53 + 4y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '53' to each side of the equation. -53 + 4y + 53 + y2 = 0 + 53 Reorder the terms: -53 + 53 + 4y + y2 = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 4y + y2 = 0 + 53 4y + y2 = 0 + 53 Combine like terms: 0 + 53 = 53 4y + y2 = 53 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = 53 + 4 Reorder the terms: 4 + 4y + y2 = 53 + 4 Combine like terms: 53 + 4 = 57 4 + 4y + y2 = 57 Factor a perfect square on the left side: (y + 2)(y + 2) = 57 Calculate the square root of the right side: 7.549834435 Break this problem into two subproblems by setting (y + 2) equal to 7.549834435 and -7.549834435.Subproblem 1
y + 2 = 7.549834435 Simplifying y + 2 = 7.549834435 Reorder the terms: 2 + y = 7.549834435 Solving 2 + y = 7.549834435 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 7.549834435 + -2 Combine like terms: 2 + -2 = 0 0 + y = 7.549834435 + -2 y = 7.549834435 + -2 Combine like terms: 7.549834435 + -2 = 5.549834435 y = 5.549834435 Simplifying y = 5.549834435Subproblem 2
y + 2 = -7.549834435 Simplifying y + 2 = -7.549834435 Reorder the terms: 2 + y = -7.549834435 Solving 2 + y = -7.549834435 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = -7.549834435 + -2 Combine like terms: 2 + -2 = 0 0 + y = -7.549834435 + -2 y = -7.549834435 + -2 Combine like terms: -7.549834435 + -2 = -9.549834435 y = -9.549834435 Simplifying y = -9.549834435Solution
The solution to the problem is based on the solutions from the subproblems. y = {5.549834435, -9.549834435}
| 6+7r=13 | | -31=-6w-7 | | -7-6x=14-9x | | 10x^2+23x+12=0 | | 5-2f=19 | | 6n-2(5n+8)=-2n-28 | | 3v^2+11v-4=0 | | 12=-3k+3 | | 3+6x=33+x | | 7-3t+4=5t-1+4t | | -4s+1=9 | | 5(3a+4)=4(3a+20) | | 8z-6=18 | | 5x+38=13x-34 | | 5x+38=13x+34 | | 3l^2-6=0 | | 7x+5-x=53 | | 6d^2+17d+7= | | G=4 | | 2p^2-2=0 | | 10x-9=71 | | 2t^2+17t+21=0 | | -10x-29=-18x+91 | | 7.67x^2+2.78x-5.35=0 | | 11g-10=18-3g | | 8x^2+57x-56=0 | | 65-32=x | | 117-4x=23x+24 | | 9x^2+35x+24=0 | | -2w+13+5w=8-4w-9 | | 11-3x=5x+3 | | 11-8x=77-22x |