If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y2 + 1 = -6y Reorder the terms: 1 + 4y2 = -6y Solving 1 + 4y2 = -6y Solving for variable 'y'. Reorder the terms: 1 + 6y + 4y2 = -6y + 6y Combine like terms: -6y + 6y = 0 1 + 6y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + 1.5y + y2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 1.5y + -0.25 + y2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 1.5y + y2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 1.5y + y2 = 0 + -0.25 1.5y + y2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 1.5y + y2 = -0.25 The y term is 1.5y. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5y + 0.5625 + y2 = -0.25 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = -0.25 + 0.5625 Combine like terms: -0.25 + 0.5625 = 0.3125 0.5625 + 1.5y + y2 = 0.3125 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = 0.3125 Calculate the square root of the right side: 0.559016994 Break this problem into two subproblems by setting (y + 0.75) equal to 0.559016994 and -0.559016994.Subproblem 1
y + 0.75 = 0.559016994 Simplifying y + 0.75 = 0.559016994 Reorder the terms: 0.75 + y = 0.559016994 Solving 0.75 + y = 0.559016994 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + y = 0.559016994 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = 0.559016994 + -0.75 y = 0.559016994 + -0.75 Combine like terms: 0.559016994 + -0.75 = -0.190983006 y = -0.190983006 Simplifying y = -0.190983006Subproblem 2
y + 0.75 = -0.559016994 Simplifying y + 0.75 = -0.559016994 Reorder the terms: 0.75 + y = -0.559016994 Solving 0.75 + y = -0.559016994 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + y = -0.559016994 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = -0.559016994 + -0.75 y = -0.559016994 + -0.75 Combine like terms: -0.559016994 + -0.75 = -1.309016994 y = -1.309016994 Simplifying y = -1.309016994Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.190983006, -1.309016994}
| 3y+5y=24 | | 3(x-3)=84/14 | | y+18=23 | | 0,8m=24 | | 3x*11=(5x+2)6 | | 21/9x54/5 | | 1/3a-1/3=-6 | | 2y+3/y=3/2 | | -3/8+y=-4/5 | | .95X+.05(6-X)=.1(-141) | | 102-x=87 | | 2/5x+4/5x-6=x+7 | | 8(2n+2)=9(6n+3)+4 | | 4-9w^2+6w^4-w^6=0 | | 1/9(2x-3)=7 | | 5+p=19+8 | | 20x=-2/7 | | 0.72+0.16t=3.81t-0.74 | | 2(3-7x)(10x+3)=0 | | 3x+2/15x^2+22x+8 | | 5/7u=35 | | 5/3+2/3x=41/18+7/6x+1/6 | | 2/x+7 | | Z/2=z/3+1/3 | | (2y+5)-(6y-10)= | | 5x+35=6x+13 | | 676/13=988/x | | 7/4+1/5x-3/12=4/5x | | 7.1x-3+x-1.9= | | (5/9x+7)(x/5-8)=0 | | y=6+-3 | | 20+x=2/x+7 |