If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + -4y + -2y = 2y2 + 6y + 28 Reorder the terms: -4y + -2y + y2 = 2y2 + 6y + 28 Combine like terms: -4y + -2y = -6y -6y + y2 = 2y2 + 6y + 28 Reorder the terms: -6y + y2 = 28 + 6y + 2y2 Solving -6y + y2 = 28 + 6y + 2y2 Solving for variable 'y'. Reorder the terms: -28 + -6y + -6y + y2 + -2y2 = 28 + 6y + 2y2 + -28 + -6y + -2y2 Combine like terms: -6y + -6y = -12y -28 + -12y + y2 + -2y2 = 28 + 6y + 2y2 + -28 + -6y + -2y2 Combine like terms: y2 + -2y2 = -1y2 -28 + -12y + -1y2 = 28 + 6y + 2y2 + -28 + -6y + -2y2 Reorder the terms: -28 + -12y + -1y2 = 28 + -28 + 6y + -6y + 2y2 + -2y2 Combine like terms: 28 + -28 = 0 -28 + -12y + -1y2 = 0 + 6y + -6y + 2y2 + -2y2 -28 + -12y + -1y2 = 6y + -6y + 2y2 + -2y2 Combine like terms: 6y + -6y = 0 -28 + -12y + -1y2 = 0 + 2y2 + -2y2 -28 + -12y + -1y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -28 + -12y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(28 + 12y + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(28 + 12y + y2)' equal to zero and attempt to solve: Simplifying 28 + 12y + y2 = 0 Solving 28 + 12y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 12y + -28 + y2 = 0 + -28 Reorder the terms: 28 + -28 + 12y + y2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 12y + y2 = 0 + -28 12y + y2 = 0 + -28 Combine like terms: 0 + -28 = -28 12y + y2 = -28 The y term is 12y. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12y + 36 + y2 = -28 + 36 Reorder the terms: 36 + 12y + y2 = -28 + 36 Combine like terms: -28 + 36 = 8 36 + 12y + y2 = 8 Factor a perfect square on the left side: (y + 6)(y + 6) = 8 Calculate the square root of the right side: 2.828427125 Break this problem into two subproblems by setting (y + 6) equal to 2.828427125 and -2.828427125.Subproblem 1
y + 6 = 2.828427125 Simplifying y + 6 = 2.828427125 Reorder the terms: 6 + y = 2.828427125 Solving 6 + y = 2.828427125 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 2.828427125 + -6 Combine like terms: 6 + -6 = 0 0 + y = 2.828427125 + -6 y = 2.828427125 + -6 Combine like terms: 2.828427125 + -6 = -3.171572875 y = -3.171572875 Simplifying y = -3.171572875Subproblem 2
y + 6 = -2.828427125 Simplifying y + 6 = -2.828427125 Reorder the terms: 6 + y = -2.828427125 Solving 6 + y = -2.828427125 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = -2.828427125 + -6 Combine like terms: 6 + -6 = 0 0 + y = -2.828427125 + -6 y = -2.828427125 + -6 Combine like terms: -2.828427125 + -6 = -8.828427125 y = -8.828427125 Simplifying y = -8.828427125Solution
The solution to the problem is based on the solutions from the subproblems. y = {-3.171572875, -8.828427125}Solution
y = {-3.171572875, -8.828427125}
| 9n-2(2n+8)= | | x^2-y^4z^2=0 | | 8[c+3c+(5+c)]=1000 | | ln^2(x)-3ln(x)-2=0 | | 9.5x=-57 | | 9+17r=13-13r | | 600+15x=2400 | | -3+13b=14b-4 | | 4tan(3x)=0 | | 25+9r=2 | | 7.5n=-127.5 | | 5x-2=-7+4 | | -5.7(4t+6)-2.7(3t-5)= | | 4(6+3f)= | | 5n+10=-6+7n | | 13x-14=4(3x+5)-6 | | 18-4x=-3+7x | | -8n(1+9n)= | | 180=4x-12+2x+36 | | 3p-16=7p-4 | | 8u-5=15-12u | | x+16x=80xsquared-32x | | x+15+2x+1+x=180 | | 1-2r=-3-r | | 8[x+3x+(5+x)]=1000 | | 2(3x+1)=13 | | 8(x-1)=6x | | 2(3+4(10-2))=x | | x+15+2x+1=180 | | 2n-10=10n+1 | | 122+2h=986 | | 5(x-1)+4x=31 |