If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + 6y = -3 Reorder the terms: 6y + 2y2 = -3 Solving 6y + 2y2 = -3 Solving for variable 'y'. Reorder the terms: 3 + 6y + 2y2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 6y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 3y + y2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 3y + -1.5 + y2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 3y + y2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3y + y2 = 0 + -1.5 3y + y2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 3y + y2 = -1.5 The y term is 3y. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3y + 2.25 + y2 = -1.5 + 2.25 Reorder the terms: 2.25 + 3y + y2 = -1.5 + 2.25 Combine like terms: -1.5 + 2.25 = 0.75 2.25 + 3y + y2 = 0.75 Factor a perfect square on the left side: (y + 1.5)(y + 1.5) = 0.75 Calculate the square root of the right side: 0.866025404 Break this problem into two subproblems by setting (y + 1.5) equal to 0.866025404 and -0.866025404.Subproblem 1
y + 1.5 = 0.866025404 Simplifying y + 1.5 = 0.866025404 Reorder the terms: 1.5 + y = 0.866025404 Solving 1.5 + y = 0.866025404 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + y = 0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + y = 0.866025404 + -1.5 y = 0.866025404 + -1.5 Combine like terms: 0.866025404 + -1.5 = -0.633974596 y = -0.633974596 Simplifying y = -0.633974596Subproblem 2
y + 1.5 = -0.866025404 Simplifying y + 1.5 = -0.866025404 Reorder the terms: 1.5 + y = -0.866025404 Solving 1.5 + y = -0.866025404 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + y = -0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + y = -0.866025404 + -1.5 y = -0.866025404 + -1.5 Combine like terms: -0.866025404 + -1.5 = -2.366025404 y = -2.366025404 Simplifying y = -2.366025404Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.633974596, -2.366025404}
| -3(x-5)=-2x | | 4x=4x+8-x^2+10 | | 3x^2=-2x-2 | | 2x(8x-3)=0 | | t-32=96 | | -24-(-13)= | | x(4+22)=12 | | x/8+2=3x/4-3 | | (x-24)=(2x-130) | | x^2+x^2+2=x^2+4 | | 3x^2+15x=-18 | | 3(x-4)=1-(2x-7) | | 4(3y+1)=2(y-8) | | 5x-2x=12 | | (8x-9)(7x+3)=0 | | (-0.008)2/3= | | 2x^2-9x=0 | | 2(3b+5)-1=10b+b+1 | | 20x+80=32x+8 | | 20x+80=32+8 | | (1x-3)(1x+8)=-30 | | (1x-3)(1x+8)=30 | | r^4=2r^3+15r^2 | | 450+562= | | 9=3wyz+4 | | 3x^2-3x-216=0 | | 2(3x-2.9)=4x-5.8 | | r=4n+3z | | 1a^2=5a-6 | | 7x^2-3x=2 | | 1.2+0.5x=0.7 | | 5x+20y=45 |