If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3Y2 + -3Y + -2 = 0 Reorder the terms: -2 + -3Y + 3Y2 = 0 Solving -2 + -3Y + 3Y2 = 0 Solving for variable 'Y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.6666666667 + -1Y + Y2 = 0 Move the constant term to the right: Add '0.6666666667' to each side of the equation. -0.6666666667 + -1Y + 0.6666666667 + Y2 = 0 + 0.6666666667 Reorder the terms: -0.6666666667 + 0.6666666667 + -1Y + Y2 = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + -1Y + Y2 = 0 + 0.6666666667 -1Y + Y2 = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 -1Y + Y2 = 0.6666666667 The Y term is -1Y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1Y + 0.25 + Y2 = 0.6666666667 + 0.25 Reorder the terms: 0.25 + -1Y + Y2 = 0.6666666667 + 0.25 Combine like terms: 0.6666666667 + 0.25 = 0.9166666667 0.25 + -1Y + Y2 = 0.9166666667 Factor a perfect square on the left side: (Y + -0.5)(Y + -0.5) = 0.9166666667 Calculate the square root of the right side: 0.957427108 Break this problem into two subproblems by setting (Y + -0.5) equal to 0.957427108 and -0.957427108.Subproblem 1
Y + -0.5 = 0.957427108 Simplifying Y + -0.5 = 0.957427108 Reorder the terms: -0.5 + Y = 0.957427108 Solving -0.5 + Y = 0.957427108 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + Y = 0.957427108 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + Y = 0.957427108 + 0.5 Y = 0.957427108 + 0.5 Combine like terms: 0.957427108 + 0.5 = 1.457427108 Y = 1.457427108 Simplifying Y = 1.457427108Subproblem 2
Y + -0.5 = -0.957427108 Simplifying Y + -0.5 = -0.957427108 Reorder the terms: -0.5 + Y = -0.957427108 Solving -0.5 + Y = -0.957427108 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + Y = -0.957427108 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + Y = -0.957427108 + 0.5 Y = -0.957427108 + 0.5 Combine like terms: -0.957427108 + 0.5 = -0.457427108 Y = -0.457427108 Simplifying Y = -0.457427108Solution
The solution to the problem is based on the solutions from the subproblems. Y = {1.457427108, -0.457427108}
| (4y-2)=6 | | 15+6x=21 | | 5(x-5)-7x=-35 | | 4*b=-3 | | 5(x-5)-7x=-35x | | 16p^3-28p^2+20p-35=0 | | 6e-7=48.2 | | (10x-1)=14 | | 42-4x=14-8x | | -2=5w+6(w+7) | | (88+26+100)= | | 6x+12=-51-3x | | -3y+5(y-2)=-4 | | 3=-3x+36 | | 21z^2-16z-16= | | 7x+2y+7z-5x+4z-5y= | | -36=6u+2(u+6) | | 5y-2z=9 | | a-9=0 | | -4*x=-20 | | 1/2*0+3=x | | x^2-9x-8=-6x-4 | | 1+5x=1+x | | 20x-3=117 | | -w+202=101 | | 4x+257=14x-13 | | n^2-6n+9=o | | 4x^2+3600=0 | | 258=112-v | | 5x^3+9x^2-7x-10= | | h=-16t^2+112+7 | | 1000=-16t^2+1600 |