If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3y2 + 4y = 6 Reorder the terms: 4y + 3y2 = 6 Solving 4y + 3y2 = 6 Solving for variable 'y'. Reorder the terms: -6 + 4y + 3y2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 4y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2 + 1.333333333y + y2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + 1.333333333y + 2 + y2 = 0 + 2 Reorder the terms: -2 + 2 + 1.333333333y + y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1.333333333y + y2 = 0 + 2 1.333333333y + y2 = 0 + 2 Combine like terms: 0 + 2 = 2 1.333333333y + y2 = 2 The y term is 1.333333333y. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333y + 0.4444444442 + y2 = 2 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333y + y2 = 2 + 0.4444444442 Combine like terms: 2 + 0.4444444442 = 2.4444444442 0.4444444442 + 1.333333333y + y2 = 2.4444444442 Factor a perfect square on the left side: (y + 0.6666666665)(y + 0.6666666665) = 2.4444444442 Calculate the square root of the right side: 1.56347192 Break this problem into two subproblems by setting (y + 0.6666666665) equal to 1.56347192 and -1.56347192.Subproblem 1
y + 0.6666666665 = 1.56347192 Simplifying y + 0.6666666665 = 1.56347192 Reorder the terms: 0.6666666665 + y = 1.56347192 Solving 0.6666666665 + y = 1.56347192 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + y = 1.56347192 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + y = 1.56347192 + -0.6666666665 y = 1.56347192 + -0.6666666665 Combine like terms: 1.56347192 + -0.6666666665 = 0.8968052535 y = 0.8968052535 Simplifying y = 0.8968052535Subproblem 2
y + 0.6666666665 = -1.56347192 Simplifying y + 0.6666666665 = -1.56347192 Reorder the terms: 0.6666666665 + y = -1.56347192 Solving 0.6666666665 + y = -1.56347192 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + y = -1.56347192 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + y = -1.56347192 + -0.6666666665 y = -1.56347192 + -0.6666666665 Combine like terms: -1.56347192 + -0.6666666665 = -2.2301385865 y = -2.2301385865 Simplifying y = -2.2301385865Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.8968052535, -2.2301385865}
| 2x-7=1-2x | | -5+6x=-23 | | 1/2*2m | | y=4(3a+8b) | | 6x-7=3(x+4) | | x+2(2x+3)=(x+3)+(x+4) | | y=3(10a+8b) | | 23ln=log | | 5r-(2r+3)=16 | | 19+x=52 | | 23log= | | -5(5x-2)=110 | | 5x(x-13)=0 | | 13t-11t= | | m^2-5m-50= | | .10x+.30y=2.5 | | 3-2(5+1)-1=z | | -45=g/-3 | | 9+2(x+7)+7(x+2)= | | 2(-4x+2)=12 | | 13t-2t= | | 8(x-1)=3x-43 | | 8x+7-2x=7 | | 4n=4n+16 | | -2k-2=6 | | 5(x+2)-9=-32 | | s=58383838+828228828828373784884848383 | | 30-5(2+3)*4= | | (6+6i)(6+6i)= | | s=58383838+82822 | | 45*3/-15 | | (6+6i)*(6+6i)= |