If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + 3y + -3 = 0 Reorder the terms: -3 + 3y + 2y2 = 0 Solving -3 + 3y + 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'. -1.5 + 1.5y + y2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + 1.5y + 1.5 + y2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + 1.5y + y2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.5y + y2 = 0 + 1.5 1.5y + y2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 1.5y + y2 = 1.5 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 = 1.5 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = 1.5 + 0.5625 Combine like terms: 1.5 + 0.5625 = 2.0625 0.5625 + 1.5y + y2 = 2.0625 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (y + 0.75) equal to 1.436140662 and -1.436140662.Subproblem 1
y + 0.75 = 1.436140662 Simplifying y + 0.75 = 1.436140662 Reorder the terms: 0.75 + y = 1.436140662 Solving 0.75 + y = 1.436140662 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 = 1.436140662 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = 1.436140662 + -0.75 y = 1.436140662 + -0.75 Combine like terms: 1.436140662 + -0.75 = 0.686140662 y = 0.686140662 Simplifying y = 0.686140662Subproblem 2
y + 0.75 = -1.436140662 Simplifying y + 0.75 = -1.436140662 Reorder the terms: 0.75 + y = -1.436140662 Solving 0.75 + y = -1.436140662 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 = -1.436140662 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = -1.436140662 + -0.75 y = -1.436140662 + -0.75 Combine like terms: -1.436140662 + -0.75 = -2.186140662 y = -2.186140662 Simplifying y = -2.186140662Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.686140662, -2.186140662}
| 7(5+4)= | | 1.5q=-4.8 | | m-3k=pfork | | g-7=22 | | 4(x+3)+6=4x+9 | | 2x+z=6 | | -x+y=zforx | | 4(x+3)+3x=7x+12 | | 11d+6=3d+62 | | -4=-2x-3 | | 2x+z+0=6 | | 4x+16-3x=-2-13 | | 6(x+3)+x=7x+9+9 | | 0=12x+x^2+36 | | 4x-16=x+2 | | 13-(4m+3)=2+2m-6 | | -8-12=4x+14-3x | | 5x^2+6xy+5y^2=8 | | 17-7x=-11 | | 8n+-9=-10 | | 52-26= | | 6(x+3)+x=6x+3+15 | | 6x+10-5x-1= | | -9x+9+10x=18 | | 81=6x-15 | | 6(x+3)+x=7x+5 | | 9x-16=128 | | 6(x+3)=7x+2+1 | | 3b+4=12b-1 | | f(x)=4x^2-32x+64 | | 5x+16y=141 | | -3-(3-6p)= |