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 = 31 Reorder the terms: -6y + y2 = 31 Solving -6y + y2 = 31 Solving for variable 'y'. Reorder the terms: -31 + -6y + y2 = 31 + -31 Combine like terms: 31 + -31 = 0 -31 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '31' to each side of the equation. -31 + -6y + 31 + y2 = 0 + 31 Reorder the terms: -31 + 31 + -6y + y2 = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -6y + y2 = 0 + 31 -6y + y2 = 0 + 31 Combine like terms: 0 + 31 = 31 -6y + y2 = 31 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 = 31 + 9 Reorder the terms: 9 + -6y + y2 = 31 + 9 Combine like terms: 31 + 9 = 40 9 + -6y + y2 = 40 Factor a perfect square on the left side: (y + -3)(y + -3) = 40 Calculate the square root of the right side: 6.32455532 Break this problem into two subproblems by setting (y + -3) equal to 6.32455532 and -6.32455532.Subproblem 1
y + -3 = 6.32455532 Simplifying y + -3 = 6.32455532 Reorder the terms: -3 + y = 6.32455532 Solving -3 + y = 6.32455532 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 = 6.32455532 + 3 Combine like terms: -3 + 3 = 0 0 + y = 6.32455532 + 3 y = 6.32455532 + 3 Combine like terms: 6.32455532 + 3 = 9.32455532 y = 9.32455532 Simplifying y = 9.32455532Subproblem 2
y + -3 = -6.32455532 Simplifying y + -3 = -6.32455532 Reorder the terms: -3 + y = -6.32455532 Solving -3 + y = -6.32455532 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 = -6.32455532 + 3 Combine like terms: -3 + 3 = 0 0 + y = -6.32455532 + 3 y = -6.32455532 + 3 Combine like terms: -6.32455532 + 3 = -3.32455532 y = -3.32455532 Simplifying y = -3.32455532Solution
The solution to the problem is based on the solutions from the subproblems. y = {9.32455532, -3.32455532}
| (x+1)(x-3)+10=-2x+6 | | 0=u^2-u-6 | | w-9=12 | | 1.4+2.4=0.8g+8.1 | | x^2=120*60 | | y=70+2x-0.02x^2 | | r^2=14r+26 | | 6c+-25=-7 | | 21x-3=2(7x-4)+7x+5 | | 8x^2-26x-4=0 | | 7(x-2)-5=2x+5(-3+x) | | 9y-2=9y+6 | | 0=u^2-2u-15 | | 3(x-2)=2x-3 | | 6(2n+4)=8(6n+4)+8 | | 2(x+5)=6x-3 | | 2/3=n/21 | | 3/4-4/9 | | r-7.3=-0.2 | | x^2y^2+4xy=-3 | | 4x=16x+3 | | 10x^2+2x=12 | | 0.6x-1.5=1.4x+1.9 | | 4(3)=13x | | 50=-6+-4.5x | | 9(2n+1)=9(5n+2)+4 | | 9x+3=4w+2 | | 4(y+6)+y=3(y+2)-8 | | -3(t-1)+6t=7t-9 | | -15y=12-3x | | 11y=17(8) | | 11(12)=8x |