If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y2 + -3y + -9 = 0 Reorder the terms: -9 + -3y + 4y2 = 0 Solving -9 + -3y + 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'. -2.25 + -0.75y + y2 = 0 Move the constant term to the right: Add '2.25' to each side of the equation. -2.25 + -0.75y + 2.25 + y2 = 0 + 2.25 Reorder the terms: -2.25 + 2.25 + -0.75y + y2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + -0.75y + y2 = 0 + 2.25 -0.75y + y2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 -0.75y + y2 = 2.25 The y term is -0.75y. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75y + 0.140625 + y2 = 2.25 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = 2.25 + 0.140625 Combine like terms: 2.25 + 0.140625 = 2.390625 0.140625 + -0.75y + y2 = 2.390625 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = 2.390625 Calculate the square root of the right side: 1.54616461 Break this problem into two subproblems by setting (y + -0.375) equal to 1.54616461 and -1.54616461.Subproblem 1
y + -0.375 = 1.54616461 Simplifying y + -0.375 = 1.54616461 Reorder the terms: -0.375 + y = 1.54616461 Solving -0.375 + y = 1.54616461 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + y = 1.54616461 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + y = 1.54616461 + 0.375 y = 1.54616461 + 0.375 Combine like terms: 1.54616461 + 0.375 = 1.92116461 y = 1.92116461 Simplifying y = 1.92116461Subproblem 2
y + -0.375 = -1.54616461 Simplifying y + -0.375 = -1.54616461 Reorder the terms: -0.375 + y = -1.54616461 Solving -0.375 + y = -1.54616461 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + y = -1.54616461 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + y = -1.54616461 + 0.375 y = -1.54616461 + 0.375 Combine like terms: -1.54616461 + 0.375 = -1.17116461 y = -1.17116461 Simplifying y = -1.17116461Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.92116461, -1.17116461}
| x^2-8x+16=44 | | 3x^5+17= | | n/4=-2 | | W^2-8wu+16u^2= | | 1/4x=-60 | | 22x+11=-2 | | 108=12+8d/13 | | (2x+1)(x+2)=54 | | -12=2x | | 1/2x+3/5x=209 | | 0=-4/3(6)+b | | 220=16+6d/13 | | 0=x^2-3x+8 | | 25x^2+60xw+36w^2= | | x^2-12x+45=100 | | 0=-3/4(6)+b | | 9x+11-2x=14-15x-16 | | -6(1+7k)+7(1-6k)=-2 | | (7b)2+8+(3b)2= | | 200=16+6d/13 | | 8y+1=-15 | | z^2-8=0 | | 9/p=p/p-2 | | x+21-3x-2x-5=-52 | | n/5+3=6 | | 9u^2-48uv+64v^2= | | 80-12x^2=0 | | 8y+1=15 | | 0=3/4(6)+b | | 8(x)=-96 | | 35y^2-120y-100=0 | | -29=4(2a-1)+2a |