If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + 5y + -15 = 0 Reorder the terms: -15 + 5y + 2y2 = 0 Solving -15 + 5y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + 2.5y + y2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 2.5y + 7.5 + y2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 2.5y + y2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 2.5y + y2 = 0 + 7.5 2.5y + y2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 2.5y + y2 = 7.5 The y term is 2.5y. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5y + 1.5625 + y2 = 7.5 + 1.5625 Reorder the terms: 1.5625 + 2.5y + y2 = 7.5 + 1.5625 Combine like terms: 7.5 + 1.5625 = 9.0625 1.5625 + 2.5y + y2 = 9.0625 Factor a perfect square on the left side: (y + 1.25)(y + 1.25) = 9.0625 Calculate the square root of the right side: 3.010398645 Break this problem into two subproblems by setting (y + 1.25) equal to 3.010398645 and -3.010398645.Subproblem 1
y + 1.25 = 3.010398645 Simplifying y + 1.25 = 3.010398645 Reorder the terms: 1.25 + y = 3.010398645 Solving 1.25 + y = 3.010398645 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + y = 3.010398645 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + y = 3.010398645 + -1.25 y = 3.010398645 + -1.25 Combine like terms: 3.010398645 + -1.25 = 1.760398645 y = 1.760398645 Simplifying y = 1.760398645Subproblem 2
y + 1.25 = -3.010398645 Simplifying y + 1.25 = -3.010398645 Reorder the terms: 1.25 + y = -3.010398645 Solving 1.25 + y = -3.010398645 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + y = -3.010398645 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + y = -3.010398645 + -1.25 y = -3.010398645 + -1.25 Combine like terms: -3.010398645 + -1.25 = -4.260398645 y = -4.260398645 Simplifying y = -4.260398645Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.760398645, -4.260398645}
| x+7x=176 | | 10x-y=-3 | | A=1/12(360) | | 12y+3=9a-15 | | 3(x+2)-x=11 | | 5-1=1 | | (540-x^2)-(x^2+6x)=0 | | 15x-20=-300 | | 1+2n+5=18 | | =3(2r+7)+3(3r-5) | | 3.14/4x=3d | | 6d+18= | | 9+ln(8x)=21-2ln(x) | | 7-15=5x | | 30t^2=22t | | (6+x)(5x-6)= | | -7(5m)= | | 25t^2=25 | | 7.5*6.3=x | | -3x-8=46 | | p(x)=x^2-25 | | 3x+69=8x-6 | | 12(4X-3)=4(12X+5) | | 9x-2x^2=3x^2-2 | | 15x-14=61 | | -7(5m)=-35m | | 12y-4y=32 | | (7x^2-12x+2)=0 | | 259-5x=40x+24 | | 2x+2=11x+9 | | (13/52)*(13/52) | | -(7x^2-12x+2)=0 |