If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6y + 27 = 4y2 Reorder the terms: 27 + 6y = 4y2 Solving 27 + 6y = 4y2 Solving for variable 'y'. Combine like terms: 4y2 + -4y2 = 0 27 + 6y + -4y2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -6.75 + -1.5y + y2 = 0 Move the constant term to the right: Add '6.75' to each side of the equation. -6.75 + -1.5y + 6.75 + y2 = 0 + 6.75 Reorder the terms: -6.75 + 6.75 + -1.5y + y2 = 0 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + -1.5y + y2 = 0 + 6.75 -1.5y + y2 = 0 + 6.75 Combine like terms: 0 + 6.75 = 6.75 -1.5y + y2 = 6.75 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = 6.75 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = 6.75 + 0.5625 Combine like terms: 6.75 + 0.5625 = 7.3125 0.5625 + -1.5y + y2 = 7.3125 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = 7.3125 Calculate the square root of the right side: 2.704163457 Break this problem into two subproblems by setting (y + -0.75) equal to 2.704163457 and -2.704163457.Subproblem 1
y + -0.75 = 2.704163457 Simplifying y + -0.75 = 2.704163457 Reorder the terms: -0.75 + y = 2.704163457 Solving -0.75 + y = 2.704163457 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = 2.704163457 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = 2.704163457 + 0.75 y = 2.704163457 + 0.75 Combine like terms: 2.704163457 + 0.75 = 3.454163457 y = 3.454163457 Simplifying y = 3.454163457Subproblem 2
y + -0.75 = -2.704163457 Simplifying y + -0.75 = -2.704163457 Reorder the terms: -0.75 + y = -2.704163457 Solving -0.75 + y = -2.704163457 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + y = -2.704163457 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + y = -2.704163457 + 0.75 y = -2.704163457 + 0.75 Combine like terms: -2.704163457 + 0.75 = -1.954163457 y = -1.954163457 Simplifying y = -1.954163457Solution
The solution to the problem is based on the solutions from the subproblems. y = {3.454163457, -1.954163457}
| -6=a+4 | | 2x-16x-3=18x+15-8x-7 | | 6x-2(9-x)=22 | | 5y-3y=8 | | 5t=18-t | | x*3=-1 | | -32=-4-7(3x-2) | | 65-3x=2x+10 | | m+3=4m+6 | | -x-11+7x=19 | | 9-9x=87-30x | | 121x^2-1=0 | | -4x-7(6-2x)=8 | | -3(x+4)=-18 | | 5w^2-18w-8=0 | | 69-3=10x+17 | | 69-3=12-7x | | 3x+4+x=16 | | 3x-8z=55 | | ln(x-1)+ln(x-2)=0 | | 5/9-(-1/3)= | | 5/9+-1/3= | | 7(x+2)=(7x+14) | | 2x+19=11x-53 | | 2x-4=13x-112 | | 8z+6=7z+13 | | .75(2x+4)+5=2 | | 2(3x+2)+3(4x+5)=2(4x+7) | | 3+n^2-4n-12=4n | | 8z+6=2z+13 | | V^2+5v+4=0 | | 10x-2=8x+12 |