If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y = 3y2 + -5 Reorder the terms: y = -5 + 3y2 Solving y = -5 + 3y2 Solving for variable 'y'. Reorder the terms: 5 + y + -3y2 = -5 + 3y2 + 5 + -3y2 Reorder the terms: 5 + y + -3y2 = -5 + 5 + 3y2 + -3y2 Combine like terms: -5 + 5 = 0 5 + y + -3y2 = 0 + 3y2 + -3y2 5 + y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 5 + y + -3y2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -1.666666667 + -0.3333333333y + y2 = 0 Move the constant term to the right: Add '1.666666667' to each side of the equation. -1.666666667 + -0.3333333333y + 1.666666667 + y2 = 0 + 1.666666667 Reorder the terms: -1.666666667 + 1.666666667 + -0.3333333333y + y2 = 0 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + -0.3333333333y + y2 = 0 + 1.666666667 -0.3333333333y + y2 = 0 + 1.666666667 Combine like terms: 0 + 1.666666667 = 1.666666667 -0.3333333333y + y2 = 1.666666667 The y term is y. 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. -0.3333333333y + 0.25 + y2 = 1.666666667 + 0.25 Reorder the terms: 0.25 + -0.3333333333y + y2 = 1.666666667 + 0.25 Combine like terms: 1.666666667 + 0.25 = 1.916666667 0.25 + -0.3333333333y + y2 = 1.916666667 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = 1.916666667 Calculate the square root of the right side: 1.384437311 Break this problem into two subproblems by setting (y + 0.5) equal to 1.384437311 and -1.384437311.Subproblem 1
y + 0.5 = 1.384437311 Simplifying y + 0.5 = 1.384437311 Reorder the terms: 0.5 + y = 1.384437311 Solving 0.5 + y = 1.384437311 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 = 1.384437311 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 1.384437311 + -0.5 y = 1.384437311 + -0.5 Combine like terms: 1.384437311 + -0.5 = 0.884437311 y = 0.884437311 Simplifying y = 0.884437311Subproblem 2
y + 0.5 = -1.384437311 Simplifying y + 0.5 = -1.384437311 Reorder the terms: 0.5 + y = -1.384437311 Solving 0.5 + y = -1.384437311 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 = -1.384437311 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = -1.384437311 + -0.5 y = -1.384437311 + -0.5 Combine like terms: -1.384437311 + -0.5 = -1.884437311 y = -1.884437311 Simplifying y = -1.884437311Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.884437311, -1.884437311}
| 77=8x | | 17x+1=19x-7 | | 3(4w)= | | 0-2=12-2*5-5 | | 4(2x-1)+3(x-5)=14 | | 7.6x-3.7=-62.4 | | 4w*3= | | 3x+3=9x+18 | | 4/10=2/x | | 2x+x=3800 | | 5n/28-6/7=13/4 | | x/3-12=27 | | 2(x-3)/3 | | X(5x-4)=(5x+1)(x-3) | | 4x+6-x-9=3(x+5) | | 2x+13x=17+3 | | (z*10)-7=1 | | Senx=-0.22 | | 2x+3x=17+3 | | -4(3x-5)=-5x-20-3x | | n+4+39=95 | | y=5c | | F(x)=-X^4-x^3+1 | | 3v+8=23 | | M-6m+3m+1= | | 32=2a | | (12x)-(4x)-145320=100000 | | 3x+2y=1390 | | (2w-7)(3+w)=0 | | 32x=-2x+4 | | 7x+7=2(x-1) | | 3v+2=-13 |