If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y(2y + -1) = 49 Reorder the terms: y(-1 + 2y) = 49 (-1 * y + 2y * y) = 49 (-1y + 2y2) = 49 Solving -1y + 2y2 = 49 Solving for variable 'y'. Reorder the terms: -49 + -1y + 2y2 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + -1y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -24.5 + -0.5y + y2 = 0 Move the constant term to the right: Add '24.5' to each side of the equation. -24.5 + -0.5y + 24.5 + y2 = 0 + 24.5 Reorder the terms: -24.5 + 24.5 + -0.5y + y2 = 0 + 24.5 Combine like terms: -24.5 + 24.5 = 0.0 0.0 + -0.5y + y2 = 0 + 24.5 -0.5y + y2 = 0 + 24.5 Combine like terms: 0 + 24.5 = 24.5 -0.5y + y2 = 24.5 The y term is -0.5y. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5y + 0.0625 + y2 = 24.5 + 0.0625 Reorder the terms: 0.0625 + -0.5y + y2 = 24.5 + 0.0625 Combine like terms: 24.5 + 0.0625 = 24.5625 0.0625 + -0.5y + y2 = 24.5625 Factor a perfect square on the left side: (y + -0.25)(y + -0.25) = 24.5625 Calculate the square root of the right side: 4.9560569 Break this problem into two subproblems by setting (y + -0.25) equal to 4.9560569 and -4.9560569.Subproblem 1
y + -0.25 = 4.9560569 Simplifying y + -0.25 = 4.9560569 Reorder the terms: -0.25 + y = 4.9560569 Solving -0.25 + y = 4.9560569 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + y = 4.9560569 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + y = 4.9560569 + 0.25 y = 4.9560569 + 0.25 Combine like terms: 4.9560569 + 0.25 = 5.2060569 y = 5.2060569 Simplifying y = 5.2060569Subproblem 2
y + -0.25 = -4.9560569 Simplifying y + -0.25 = -4.9560569 Reorder the terms: -0.25 + y = -4.9560569 Solving -0.25 + y = -4.9560569 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + y = -4.9560569 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + y = -4.9560569 + 0.25 y = -4.9560569 + 0.25 Combine like terms: -4.9560569 + 0.25 = -4.7060569 y = -4.7060569 Simplifying y = -4.7060569Solution
The solution to the problem is based on the solutions from the subproblems. y = {5.2060569, -4.7060569}
| x=-2x-5 | | 7(2x-7)=35 | | n+4(n+10)=100 | | 9x+91=(2x+8)(2x+8) | | e^2x=50 | | 63=3w+12 | | 63=3w-16 | | (x-2)(x+2)=2 | | x^2-8x+16=-3 | | 32x^2-20x-63=0 | | 40x^2+9x-10=0 | | (3x+5)(x-10)=10 | | 12x^2+56x-143=0 | | 12x^2-56x-143=0 | | 3+[4-3]+4= | | 90x^2-79x-22=0 | | 55=7x-2x | | 16-3*3+16= | | (3x-4)-(4x+10)=90 | | -35-13x+4x^2=0 | | 300=1200(x+1)/24 | | m+2/3=7/15 | | 3a=5y-16 | | (x+3)(x-8)(5x-4)=0 | | 2a+6=55 | | 9k-4=10 | | 3w-13=26 | | c*c+c-0.24=0 | | .01x+1.2=3.2 | | -x=y-5 | | 9-x=-9 | | -3x-16=34+2x |