If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6y(3y + 9) = 17 Reorder the terms: 6y(9 + 3y) = 17 (9 * 6y + 3y * 6y) = 17 (54y + 18y2) = 17 Solving 54y + 18y2 = 17 Solving for variable 'y'. Reorder the terms: -17 + 54y + 18y2 = 17 + -17 Combine like terms: 17 + -17 = 0 -17 + 54y + 18y2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. -0.9444444444 + 3y + y2 = 0 Move the constant term to the right: Add '0.9444444444' to each side of the equation. -0.9444444444 + 3y + 0.9444444444 + y2 = 0 + 0.9444444444 Reorder the terms: -0.9444444444 + 0.9444444444 + 3y + y2 = 0 + 0.9444444444 Combine like terms: -0.9444444444 + 0.9444444444 = 0.0000000000 0.0000000000 + 3y + y2 = 0 + 0.9444444444 3y + y2 = 0 + 0.9444444444 Combine like terms: 0 + 0.9444444444 = 0.9444444444 3y + y2 = 0.9444444444 The y term is 3y. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3y + 2.25 + y2 = 0.9444444444 + 2.25 Reorder the terms: 2.25 + 3y + y2 = 0.9444444444 + 2.25 Combine like terms: 0.9444444444 + 2.25 = 3.1944444444 2.25 + 3y + y2 = 3.1944444444 Factor a perfect square on the left side: (y + 1.5)(y + 1.5) = 3.1944444444 Calculate the square root of the right side: 1.787300882 Break this problem into two subproblems by setting (y + 1.5) equal to 1.787300882 and -1.787300882.Subproblem 1
y + 1.5 = 1.787300882 Simplifying y + 1.5 = 1.787300882 Reorder the terms: 1.5 + y = 1.787300882 Solving 1.5 + y = 1.787300882 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + y = 1.787300882 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + y = 1.787300882 + -1.5 y = 1.787300882 + -1.5 Combine like terms: 1.787300882 + -1.5 = 0.287300882 y = 0.287300882 Simplifying y = 0.287300882Subproblem 2
y + 1.5 = -1.787300882 Simplifying y + 1.5 = -1.787300882 Reorder the terms: 1.5 + y = -1.787300882 Solving 1.5 + y = -1.787300882 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + y = -1.787300882 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + y = -1.787300882 + -1.5 y = -1.787300882 + -1.5 Combine like terms: -1.787300882 + -1.5 = -3.287300882 y = -3.287300882 Simplifying y = -3.287300882Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.287300882, -3.287300882}
| 10w=2x+9-x | | 5x-10=4x+14 | | 0.4(x-5)=.2(10-12x)+x | | (z^-5/2z^-1)^3 | | 5(y+1)=-4 | | 231=8s+7-8(7-4) | | 16x-3.4x+2=0 | | 72+(x+10)+(x-2)=180 | | (z^-5/z^-1)^3 | | -3y-9=3x | | 9x-4=6x-5 | | 3(2a-7)-4a=2(a-9)-8 | | 9x+y+3=0 | | 4v^2r-25vr+25r= | | x-38=3x | | 2m-16=24 | | (ab+3)(ab-3)= | | 16n^2-40n=-23 | | 10a-8a-a=16 | | -9=2x/3-17 | | -18/9 | | X^4+48=16x^4 | | -63=x-4(13) | | 3b-7b+35=11-2b | | 4x+5+4x-5=6x+10 | | 9(3a-7)=(4+a) | | 2x+4x+x=90 | | 0.4(x-5)=0.2(10-12x) | | 13y=-189+13 | | 4x-3.7=6.7 | | 9+5=17-8r | | 2x-.25=1 |