If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20y2 + 5y = 9 Reorder the terms: 5y + 20y2 = 9 Solving 5y + 20y2 = 9 Solving for variable 'y'. Reorder the terms: -9 + 5y + 20y2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 5y + 20y2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. -0.45 + 0.25y + y2 = 0 Move the constant term to the right: Add '0.45' to each side of the equation. -0.45 + 0.25y + 0.45 + y2 = 0 + 0.45 Reorder the terms: -0.45 + 0.45 + 0.25y + y2 = 0 + 0.45 Combine like terms: -0.45 + 0.45 = 0.00 0.00 + 0.25y + y2 = 0 + 0.45 0.25y + y2 = 0 + 0.45 Combine like terms: 0 + 0.45 = 0.45 0.25y + y2 = 0.45 The y term is 0.25y. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25y + 0.015625 + y2 = 0.45 + 0.015625 Reorder the terms: 0.015625 + 0.25y + y2 = 0.45 + 0.015625 Combine like terms: 0.45 + 0.015625 = 0.465625 0.015625 + 0.25y + y2 = 0.465625 Factor a perfect square on the left side: (y + 0.125)(y + 0.125) = 0.465625 Calculate the square root of the right side: 0.682367203 Break this problem into two subproblems by setting (y + 0.125) equal to 0.682367203 and -0.682367203.Subproblem 1
y + 0.125 = 0.682367203 Simplifying y + 0.125 = 0.682367203 Reorder the terms: 0.125 + y = 0.682367203 Solving 0.125 + y = 0.682367203 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + y = 0.682367203 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + y = 0.682367203 + -0.125 y = 0.682367203 + -0.125 Combine like terms: 0.682367203 + -0.125 = 0.557367203 y = 0.557367203 Simplifying y = 0.557367203Subproblem 2
y + 0.125 = -0.682367203 Simplifying y + 0.125 = -0.682367203 Reorder the terms: 0.125 + y = -0.682367203 Solving 0.125 + y = -0.682367203 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + y = -0.682367203 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + y = -0.682367203 + -0.125 y = -0.682367203 + -0.125 Combine like terms: -0.682367203 + -0.125 = -0.807367203 y = -0.807367203 Simplifying y = -0.807367203Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.557367203, -0.807367203}
| 6(2x+3)=9 | | 13+9s=-8 | | 0.5t^2+3t=0 | | 9d+d+5d+4=3d | | 18+4(x-1)=-5(3x+1) | | -5-3(x-2)=2(2x+4) | | -3s+2s^2+1=0 | | 4m+4n-6m+3n+10m-8n= | | 5x-(1-x)=3x-1 | | 3x+3=-2-12 | | 3(x-1)+(2-x)=-11 | | -1.92=-2.4(5+1.4v) | | Y^2-18D+81=0 | | 3s=2s^2+1 | | 4(2(7)+2)-17=15 | | 5(3r-2)-4(2r-3)=3(1-2r) | | -1.3(1+1.3r)-7.7r=31.565 | | K^2=16K | | 2x^2+7y-4=0 | | 4(1-2n)-2(7n-4)=-32 | | 13+2(5(2)-2)=14 | | -7(x-1)-4(x+3)=61 | | x^2+7+2x=0 | | -39=-8(a-2)-3(8a-3) | | 4X^2-2X+8=8 | | 4X^2-2X+8=7 | | 4X^2-2X+8=6 | | 13+2(5c-2)=14 | | 4X^2-2X+8=5 | | 4X^2-2X+8=4 | | 4X^2-2X+8=3 | | 4X^2-2X+8=2 |