If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20y2 + -20y = 56 Reorder the terms: -20y + 20y2 = 56 Solving -20y + 20y2 = 56 Solving for variable 'y'. Reorder the terms: -56 + -20y + 20y2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -20y + 20y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-14 + -5y + 5y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-14 + -5y + 5y2)' equal to zero and attempt to solve: Simplifying -14 + -5y + 5y2 = 0 Solving -14 + -5y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -2.8 + -1y + y2 = 0 Move the constant term to the right: Add '2.8' to each side of the equation. -2.8 + -1y + 2.8 + y2 = 0 + 2.8 Reorder the terms: -2.8 + 2.8 + -1y + y2 = 0 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + -1y + y2 = 0 + 2.8 -1y + y2 = 0 + 2.8 Combine like terms: 0 + 2.8 = 2.8 -1y + y2 = 2.8 The y term is -1y. 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. -1y + 0.25 + y2 = 2.8 + 0.25 Reorder the terms: 0.25 + -1y + y2 = 2.8 + 0.25 Combine like terms: 2.8 + 0.25 = 3.05 0.25 + -1y + y2 = 3.05 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = 3.05 Calculate the square root of the right side: 1.74642492 Break this problem into two subproblems by setting (y + -0.5) equal to 1.74642492 and -1.74642492.Subproblem 1
y + -0.5 = 1.74642492 Simplifying y + -0.5 = 1.74642492 Reorder the terms: -0.5 + y = 1.74642492 Solving -0.5 + y = 1.74642492 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 = 1.74642492 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = 1.74642492 + 0.5 y = 1.74642492 + 0.5 Combine like terms: 1.74642492 + 0.5 = 2.24642492 y = 2.24642492 Simplifying y = 2.24642492Subproblem 2
y + -0.5 = -1.74642492 Simplifying y + -0.5 = -1.74642492 Reorder the terms: -0.5 + y = -1.74642492 Solving -0.5 + y = -1.74642492 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 = -1.74642492 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = -1.74642492 + 0.5 y = -1.74642492 + 0.5 Combine like terms: -1.74642492 + 0.5 = -1.24642492 y = -1.24642492 Simplifying y = -1.24642492Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.24642492, -1.24642492}Solution
y = {2.24642492, -1.24642492}
| 8y-8=6y+2 | | 7c-4=24 | | 4x+7=44 | | 4-10=z | | 7(x+5)=7x+35 | | 3x^2-6x-100=-18x+35 | | -6x^2+5x+6=0 | | b+2=17 | | 2x^2+22=20x | | 5/9*67 | | 2.4y+46=20 | | 18-3(2y+6)= | | 19=2t | | -46-(-46)=x/7 | | 2t=9 | | -6(x+10)=-42 | | (3-7)(3-7)=16 | | y=-3/2(x)+(9/2)-3 | | x^2+x-9=3 | | y+3=-3/2(x-3) | | 3(4c-1)-2=10c+5 | | 7x-y=jforx | | 4+v=6+v | | -4-1+2+5...+x=490 | | 5k-17=23 | | 0.7(x-4)=42 | | 7(0)-4y=-28 | | 6w+4=42+1 | | 2y-23=7-3y | | -3=-x*x+2x+18 | | 9x^2-10x-8=0 | | 5(5-x)= |