If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2y2 + -8y + 8) + (-3y2 + 2y + 3) + -1(y2 + 3y + -6) = 0 Reorder the terms: (8 + -8y + 2y2) + (-3y2 + 2y + 3) + -1(y2 + 3y + -6) = 0 Remove parenthesis around (8 + -8y + 2y2) 8 + -8y + 2y2 + (-3y2 + 2y + 3) + -1(y2 + 3y + -6) = 0 Reorder the terms: 8 + -8y + 2y2 + (3 + 2y + -3y2) + -1(y2 + 3y + -6) = 0 Remove parenthesis around (3 + 2y + -3y2) 8 + -8y + 2y2 + 3 + 2y + -3y2 + -1(y2 + 3y + -6) = 0 Reorder the terms: 8 + -8y + 2y2 + 3 + 2y + -3y2 + -1(-6 + 3y + y2) = 0 8 + -8y + 2y2 + 3 + 2y + -3y2 + (-6 * -1 + 3y * -1 + y2 * -1) = 0 8 + -8y + 2y2 + 3 + 2y + -3y2 + (6 + -3y + -1y2) = 0 Reorder the terms: 8 + 3 + 6 + -8y + 2y + -3y + 2y2 + -3y2 + -1y2 = 0 Combine like terms: 8 + 3 = 11 11 + 6 + -8y + 2y + -3y + 2y2 + -3y2 + -1y2 = 0 Combine like terms: 11 + 6 = 17 17 + -8y + 2y + -3y + 2y2 + -3y2 + -1y2 = 0 Combine like terms: -8y + 2y = -6y 17 + -6y + -3y + 2y2 + -3y2 + -1y2 = 0 Combine like terms: -6y + -3y = -9y 17 + -9y + 2y2 + -3y2 + -1y2 = 0 Combine like terms: 2y2 + -3y2 = -1y2 17 + -9y + -1y2 + -1y2 = 0 Combine like terms: -1y2 + -1y2 = -2y2 17 + -9y + -2y2 = 0 Solving 17 + -9y + -2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -8.5 + 4.5y + y2 = 0 Move the constant term to the right: Add '8.5' to each side of the equation. -8.5 + 4.5y + 8.5 + y2 = 0 + 8.5 Reorder the terms: -8.5 + 8.5 + 4.5y + y2 = 0 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + 4.5y + y2 = 0 + 8.5 4.5y + y2 = 0 + 8.5 Combine like terms: 0 + 8.5 = 8.5 4.5y + y2 = 8.5 The y term is 4.5y. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5y + 5.0625 + y2 = 8.5 + 5.0625 Reorder the terms: 5.0625 + 4.5y + y2 = 8.5 + 5.0625 Combine like terms: 8.5 + 5.0625 = 13.5625 5.0625 + 4.5y + y2 = 13.5625 Factor a perfect square on the left side: (y + 2.25)(y + 2.25) = 13.5625 Calculate the square root of the right side: 3.682729966 Break this problem into two subproblems by setting (y + 2.25) equal to 3.682729966 and -3.682729966.Subproblem 1
y + 2.25 = 3.682729966 Simplifying y + 2.25 = 3.682729966 Reorder the terms: 2.25 + y = 3.682729966 Solving 2.25 + y = 3.682729966 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + y = 3.682729966 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + y = 3.682729966 + -2.25 y = 3.682729966 + -2.25 Combine like terms: 3.682729966 + -2.25 = 1.432729966 y = 1.432729966 Simplifying y = 1.432729966Subproblem 2
y + 2.25 = -3.682729966 Simplifying y + 2.25 = -3.682729966 Reorder the terms: 2.25 + y = -3.682729966 Solving 2.25 + y = -3.682729966 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + y = -3.682729966 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + y = -3.682729966 + -2.25 y = -3.682729966 + -2.25 Combine like terms: -3.682729966 + -2.25 = -5.932729966 y = -5.932729966 Simplifying y = -5.932729966Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.432729966, -5.932729966}
| 25x+15=7x-50 | | (2/3)x=400 | | 3(2b+3)=27 | | 15=14a | | 3ax+5a=7a | | 13n^3-n^2+n^4+3n^2-9n^2= | | 3,7x=6 | | -4(2m+6)=16 | | x+.06x=25.97 | | x+1.6x=26 | | 14x^2y+4xy^2+2xy= | | 5(a+4)=20 | | 5x^2+8x-12x^2= | | 6x+12+xb+2b= | | 163-.29= | | x+.06x=33.92 | | 5X-6+4X=6 | | 6(2x-1)(x+9)=0 | | 21+9X=3Y | | x+.05x=13.23 | | -(5x-20)=15 | | x^2-12x+50=0 | | (x-6y)(7y-2x)=150 | | x-6y=47 | | 2x+6792=3000000 | | 36x^2+9=0 | | ln(9x^2-1)=0 | | ln(9x^2-1)=00 | | 3x+43= | | 5+14i=6y-7xi | | (r+7)(7+7)= | | (10x+10)=180 |