If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + -6y = 47 Reorder the terms: -6y + y2 = 47 Solving -6y + y2 = 47 Solving for variable 'y'. Reorder the terms: -47 + -6y + y2 = 47 + -47 Combine like terms: 47 + -47 = 0 -47 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '47' to each side of the equation. -47 + -6y + 47 + y2 = 0 + 47 Reorder the terms: -47 + 47 + -6y + y2 = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -6y + y2 = 0 + 47 -6y + y2 = 0 + 47 Combine like terms: 0 + 47 = 47 -6y + y2 = 47 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = 47 + 9 Reorder the terms: 9 + -6y + y2 = 47 + 9 Combine like terms: 47 + 9 = 56 9 + -6y + y2 = 56 Factor a perfect square on the left side: (y + -3)(y + -3) = 56 Calculate the square root of the right side: 7.483314774 Break this problem into two subproblems by setting (y + -3) equal to 7.483314774 and -7.483314774.Subproblem 1
y + -3 = 7.483314774 Simplifying y + -3 = 7.483314774 Reorder the terms: -3 + y = 7.483314774 Solving -3 + y = 7.483314774 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y = 7.483314774 + 3 Combine like terms: -3 + 3 = 0 0 + y = 7.483314774 + 3 y = 7.483314774 + 3 Combine like terms: 7.483314774 + 3 = 10.483314774 y = 10.483314774 Simplifying y = 10.483314774Subproblem 2
y + -3 = -7.483314774 Simplifying y + -3 = -7.483314774 Reorder the terms: -3 + y = -7.483314774 Solving -3 + y = -7.483314774 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y = -7.483314774 + 3 Combine like terms: -3 + 3 = 0 0 + y = -7.483314774 + 3 y = -7.483314774 + 3 Combine like terms: -7.483314774 + 3 = -4.483314774 y = -4.483314774 Simplifying y = -4.483314774Solution
The solution to the problem is based on the solutions from the subproblems. y = {10.483314774, -4.483314774}
| 10k+1-6k= | | x^4=800000 | | -2k-7=-3 | | 2m^2-13m+11=0 | | 3x-5(x-5)=-8+4x+3 | | SecosX=0 | | 6p+3= | | SecosX=9 | | 40-8=5 | | 3.1x+51.3=23.9-10.6x | | X+6=3[3-x] | | 3ln(5x+4)=18 | | 4-8=5 | | 6ax+10=10ax+4 | | Y(y-3)= | | 7(6a-4)-1=14-8a | | 5x^2+5y^2+40x-20y-25=0 | | 4(x-3)+3(x+2)=2(4x+5)-(x-4) | | x-yz=3w-zx | | 0.71+0.15t=3.60t-0.67 | | 12x+9=8x-7 | | m^2-24m-37=0 | | 6x+6+29=8x | | 3ln(x+1)-5=9 | | f(x)=(-0.4x^3)+0.6x^2+3x-2 | | 14+18m=35+11m | | 9c-8c= | | 4/5t+6=4t-1 | | e^3x=5e^3x-7 | | 4x-(6x+3)=27 | | 3y+24=0 | | (p-9)-12=2 |