If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5y2 + 8y = -2 Reorder the terms: 8y + 5y2 = -2 Solving 8y + 5y2 = -2 Solving for variable 'y'. Reorder the terms: 2 + 8y + 5y2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 8y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 1.6y + y2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 1.6y + -0.4 + y2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 1.6y + y2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1.6y + y2 = 0 + -0.4 1.6y + y2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 1.6y + y2 = -0.4 The y term is 1.6y. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6y + 0.64 + y2 = -0.4 + 0.64 Reorder the terms: 0.64 + 1.6y + y2 = -0.4 + 0.64 Combine like terms: -0.4 + 0.64 = 0.24 0.64 + 1.6y + y2 = 0.24 Factor a perfect square on the left side: (y + 0.8)(y + 0.8) = 0.24 Calculate the square root of the right side: 0.489897949 Break this problem into two subproblems by setting (y + 0.8) equal to 0.489897949 and -0.489897949.Subproblem 1
y + 0.8 = 0.489897949 Simplifying y + 0.8 = 0.489897949 Reorder the terms: 0.8 + y = 0.489897949 Solving 0.8 + y = 0.489897949 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + y = 0.489897949 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + y = 0.489897949 + -0.8 y = 0.489897949 + -0.8 Combine like terms: 0.489897949 + -0.8 = -0.310102051 y = -0.310102051 Simplifying y = -0.310102051Subproblem 2
y + 0.8 = -0.489897949 Simplifying y + 0.8 = -0.489897949 Reorder the terms: 0.8 + y = -0.489897949 Solving 0.8 + y = -0.489897949 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + y = -0.489897949 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + y = -0.489897949 + -0.8 y = -0.489897949 + -0.8 Combine like terms: -0.489897949 + -0.8 = -1.289897949 y = -1.289897949 Simplifying y = -1.289897949Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.310102051, -1.289897949}
| 4(1-3x)+7x=19 | | 3x+12=x-8 | | 16A^2-B^2=0 | | 5n^2+30n=25 | | 5x+2=x-8 | | 4v-1310v=12-24v+5 | | 3(4n+5)=-7n-23 | | 7a-4=39+6 | | 5y^2=-17y-6 | | 7x+13-5x+13=6 | | 2x+4=-3(2x+7)+3x | | 4c-6=28+6 | | 1.6=0.4y | | 8x-3=49+4 | | x-40=3x | | 5(4n-8)=38+7n | | Ax+15b=9-ab | | 3(1-x)-2(x-3)=3(3-2x) | | 4k-k=-6k+2k+7 | | 5y-7=28+5 | | -5x+12=3x | | 7x+9-x=45 | | 3x+1=x+7 | | 6r=3r+9 | | 3c+1=x+7 | | 7x+6-8+7h= | | 4-3(2a+8)=-20-8a | | 9y+7=25 | | 2x+15=3-5x | | 2x+9=27-4 | | -11x+7y=17 | | 20-2m=50+m |