If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3 + -2y + -4y2 = 0 Solving 3 + -2y + -4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -0.75 + 0.5y + y2 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + 0.5y + 0.75 + y2 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + 0.5y + y2 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.5y + y2 = 0 + 0.75 0.5y + y2 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 0.5y + y2 = 0.75 The y term is 0.5y. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5y + 0.0625 + y2 = 0.75 + 0.0625 Reorder the terms: 0.0625 + 0.5y + y2 = 0.75 + 0.0625 Combine like terms: 0.75 + 0.0625 = 0.8125 0.0625 + 0.5y + y2 = 0.8125 Factor a perfect square on the left side: (y + 0.25)(y + 0.25) = 0.8125 Calculate the square root of the right side: 0.901387819 Break this problem into two subproblems by setting (y + 0.25) equal to 0.901387819 and -0.901387819.Subproblem 1
y + 0.25 = 0.901387819 Simplifying y + 0.25 = 0.901387819 Reorder the terms: 0.25 + y = 0.901387819 Solving 0.25 + y = 0.901387819 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + y = 0.901387819 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + y = 0.901387819 + -0.25 y = 0.901387819 + -0.25 Combine like terms: 0.901387819 + -0.25 = 0.651387819 y = 0.651387819 Simplifying y = 0.651387819Subproblem 2
y + 0.25 = -0.901387819 Simplifying y + 0.25 = -0.901387819 Reorder the terms: 0.25 + y = -0.901387819 Solving 0.25 + y = -0.901387819 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + y = -0.901387819 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + y = -0.901387819 + -0.25 y = -0.901387819 + -0.25 Combine like terms: -0.901387819 + -0.25 = -1.151387819 y = -1.151387819 Simplifying y = -1.151387819Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.651387819, -1.151387819}
| 1+5x=16+2x | | 80x+15(60)=70x+4200 | | (x+y)+y+z+30=360 | | 2(a-4)=(2a+4) | | -108x^3+294x^2-198x=0 | | 3x-2y+4z=35 | | 7x^2=(2x+1)+3x^2-5 | | 2x-(x-3)=20 | | 4t-3t-(3t+1)=5t-4 | | ysquared=6y+5 | | h-8=36 | | 1.5x=1.5+x | | 4x-4=2x+3 | | 0.4(3x-1)=0.5x+1 | | 270=2x+(30+6x) | | 25=-9x^2-30x | | 4n^2+12nx+9x^2= | | 7*n-n^2=-450 | | -1*1+a*(-1)+9=4 | | X-0.3=70 | | 3(x+2)=6x+4 | | x(6-3x)=2 | | 9m^2+30mn+25n^2= | | kl+km=n | | 2e^9x-e^6x-5e^3x-2=0 | | kt+kt=y | | yz+yk=t | | x^2y^2-2ab+1= | | f(x)-x^3=1 | | x^2+12nx+36= | | 1.2x-3.2=-6.2 | | 1/3+n=2/3 |