If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (-5y2 + -6y) + (9y2 + 2y + -4) = 0 Reorder the terms: (-6y + -5y2) + (9y2 + 2y + -4) = 0 Remove parenthesis around (-6y + -5y2) -6y + -5y2 + (9y2 + 2y + -4) = 0 Reorder the terms: -6y + -5y2 + (-4 + 2y + 9y2) = 0 Remove parenthesis around (-4 + 2y + 9y2) -6y + -5y2 + -4 + 2y + 9y2 = 0 Reorder the terms: -4 + -6y + 2y + -5y2 + 9y2 = 0 Combine like terms: -6y + 2y = -4y -4 + -4y + -5y2 + 9y2 = 0 Combine like terms: -5y2 + 9y2 = 4y2 -4 + -4y + 4y2 = 0 Solving -4 + -4y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -1y + y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1y + y2)' equal to zero and attempt to solve: Simplifying -1 + -1y + y2 = 0 Solving -1 + -1y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -1y + 1 + y2 = 0 + 1 Reorder the terms: -1 + 1 + -1y + y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y + y2 = 0 + 1 -1y + y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1y + y2 = 1 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = 1 + 0.25 Reorder the terms: 0.25 + -1y + y2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + -1y + y2 = 1.25 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (y + -0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
y + -0.5 = 1.118033989 Simplifying y + -0.5 = 1.118033989 Reorder the terms: -0.5 + y = 1.118033989 Solving -0.5 + y = 1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = 1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = 1.118033989 + 0.5 y = 1.118033989 + 0.5 Combine like terms: 1.118033989 + 0.5 = 1.618033989 y = 1.618033989 Simplifying y = 1.618033989Subproblem 2
y + -0.5 = -1.118033989 Simplifying y + -0.5 = -1.118033989 Reorder the terms: -0.5 + y = -1.118033989 Solving -0.5 + y = -1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = -1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = -1.118033989 + 0.5 y = -1.118033989 + 0.5 Combine like terms: -1.118033989 + 0.5 = -0.618033989 y = -0.618033989 Simplifying y = -0.618033989Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.618033989, -0.618033989}Solution
y = {1.618033989, -0.618033989}
| 33+23k=-(5k+21) | | 1.414213562x=x-4 | | 15y-3=8 | | 3c-.5(c-14)=2 | | 0.05(12-x)+0.1x=0.96 | | (.9/y)/-2.55 | | m+0.4=3m+0.6 | | 31+l=72 | | 48=6e^4*k | | 4(-y-5)=.5(8-4y) | | h+h-5=72 | | 5v(9v+4)=0 | | 4[(10-6)+(2)]= | | 9x+8=4-19x | | 18-y=24 | | 30=3D-6 | | x=120-1x | | -77p+3p-2p+2+34= | | x2=49/121 | | .5(4x-6)-1=.66(2x-4) | | 9x+15=-345 | | 375x^3-648y^3=0 | | 9x+15=345 | | 8ln+2lnx=5 | | y=0.5x^2+2x-8 | | 8ln+21lnx=5 | | 7y+2x+41=180 | | 12x-36a+24b-6b-60a= | | 3x2/4-1/2x-1/3=0 | | 2x-6=-5-4x | | 5(y-4)+2(y-6)-.5=2y-4 | | 3^2/4-1/2^-1/3=0 |