If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y2 + 4y + -7 = 0 Reorder the terms: -7 + 4y + 4y2 = 0 Solving -7 + 4y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.75 + y + y2 = 0 Move the constant term to the right: Add '1.75' to each side of the equation. -1.75 + y + 1.75 + y2 = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + y + y2 = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + y + y2 = 0 + 1.75 y + y2 = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 y + y2 = 1.75 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. + 0.25 + y2 = 1.75 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + y2 = 1.75 + 0.25 Combine like terms: 1.75 + 0.25 = 2 1.25 + y2 = 2 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (y + 0.5) equal to 1.414213562 and -1.414213562.Subproblem 1
y + 0.5 = 1.414213562 Simplifying y + 0.5 = 1.414213562 Reorder the terms: 0.5 + y = 1.414213562 Solving 0.5 + y = 1.414213562 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 = 1.414213562 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 1.414213562 + -0.5 y = 1.414213562 + -0.5 Combine like terms: 1.414213562 + -0.5 = 0.914213562 y = 0.914213562 Simplifying y = 0.914213562Subproblem 2
y + 0.5 = -1.414213562 Simplifying y + 0.5 = -1.414213562 Reorder the terms: 0.5 + y = -1.414213562 Solving 0.5 + y = -1.414213562 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 = -1.414213562 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = -1.414213562 + -0.5 y = -1.414213562 + -0.5 Combine like terms: -1.414213562 + -0.5 = -1.914213562 y = -1.914213562 Simplifying y = -1.914213562Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.914213562, -1.914213562}
| (y+5)(y-2)=2+3y | | 3x+5.6=11.6 | | 8x-5=67 | | 6(6+c)=5(c-1) | | 9y-11=8y-9 | | 12+6(z-2)=5z+2 | | -0.7x+2.15=-0.9x+3.35 | | 12+6(z-2)=5c+2 | | 4y-(2y+6)=10 | | 9(5c-1)-8=43c+9 | | .5(8x+16)=1.2-(x+2) | | x^2+4x=16x | | 4x+100=2500 | | 233-3x=42x+23 | | 6x+4=2x-52 | | 5(3c-1)-5=11c+2 | | 14-9x=60-23x | | 5.4=10x+4.2 | | x+9=8x-8 | | 6(3+4x)-5=205 | | -5t-25=5 | | 3.9x+3-8.9x=8 | | y^2-12=0 | | (7x-6)(5x+2)=0 | | 6s^2+2s= | | -6x-4=x+60 | | 5z-7=6z-4 | | x^2-4x=-31 | | 7(x-6.6)=2.8 | | (7x-6x)(5x+2)=0 | | 2x+2y-2+2gx=x^2-y^2+1 | | x^6+16x^3+64=0 |