If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + -3y = 1 Reorder the terms: -3y + 2y2 = 1 Solving -3y + 2y2 = 1 Solving for variable 'y'. Reorder the terms: -1 + -3y + 2y2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + -1.5y + y2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -1.5y + 0.5 + y2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -1.5y + y2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1.5y + y2 = 0 + 0.5 -1.5y + y2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -1.5y + y2 = 0.5 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = 0.5 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = 0.5 + 0.5625 Combine like terms: 0.5 + 0.5625 = 1.0625 0.5625 + -1.5y + y2 = 1.0625 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = 1.0625 Calculate the square root of the right side: 1.030776406 Break this problem into two subproblems by setting (y + -0.75) equal to 1.030776406 and -1.030776406.Subproblem 1
y + -0.75 = 1.030776406 Simplifying y + -0.75 = 1.030776406 Reorder the terms: -0.75 + y = 1.030776406 Solving -0.75 + y = 1.030776406 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = 1.030776406 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = 1.030776406 + 0.75 y = 1.030776406 + 0.75 Combine like terms: 1.030776406 + 0.75 = 1.780776406 y = 1.780776406 Simplifying y = 1.780776406Subproblem 2
y + -0.75 = -1.030776406 Simplifying y + -0.75 = -1.030776406 Reorder the terms: -0.75 + y = -1.030776406 Solving -0.75 + y = -1.030776406 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = -1.030776406 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = -1.030776406 + 0.75 y = -1.030776406 + 0.75 Combine like terms: -1.030776406 + 0.75 = -0.280776406 y = -0.280776406 Simplifying y = -0.280776406Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.780776406, -0.280776406}
| 6k+8=18 | | X+3x=2x+2 | | .6k+8=18 | | -4(5x-2)+7=-50 | | 3v-12+2v=13 | | 9x+3-4x= | | 18-3n=2+n | | 6m-14=2m+6 | | 19+x^2=4 | | 2x^2-6x=-8 | | 44+7p=-4p | | 2(7w)+2w=304w | | -4m+6=-9m+31 | | 9u-3u=2u+24 | | w=14 | | 9x^1-1=0 | | 5x^2+2x-3= | | 11-4=4 | | (5x+2)2=23 | | 11=6-3g-4 | | 13x+8(5x-9)=21 | | 2x-7-5=4 | | 0=3x^2-3x | | 5w^2-9w-2= | | 5x+7=-2x-14 | | y-x=5 | | 4(2x-1)+14=22 | | 4(x+1)=24 | | 10y+15=15y | | 4x^3-3x^2-2=0 | | 7k-6-2k=-1 | | 4x-8x-5=0 |