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 + -6.875 = 0 Reorder the terms: -6.875 + 3y + 2y2 = 0 Solving -6.875 + 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'. -3.4375 + 1.5y + y2 = 0 Move the constant term to the right: Add '3.4375' to each side of the equation. -3.4375 + 1.5y + 3.4375 + y2 = 0 + 3.4375 Reorder the terms: -3.4375 + 3.4375 + 1.5y + y2 = 0 + 3.4375 Combine like terms: -3.4375 + 3.4375 = 0.0000 0.0000 + 1.5y + y2 = 0 + 3.4375 1.5y + y2 = 0 + 3.4375 Combine like terms: 0 + 3.4375 = 3.4375 1.5y + y2 = 3.4375 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 = 3.4375 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = 3.4375 + 0.5625 Combine like terms: 3.4375 + 0.5625 = 4 0.5625 + 1.5y + y2 = 4 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = 4 Calculate the square root of the right side: 2 Break this problem into two subproblems by setting (y + 0.75) equal to 2 and -2.Subproblem 1
y + 0.75 = 2 Simplifying y + 0.75 = 2 Reorder the terms: 0.75 + y = 2 Solving 0.75 + y = 2 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 = 2 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = 2 + -0.75 y = 2 + -0.75 Combine like terms: 2 + -0.75 = 1.25 y = 1.25 Simplifying y = 1.25Subproblem 2
y + 0.75 = -2 Simplifying y + 0.75 = -2 Reorder the terms: 0.75 + y = -2 Solving 0.75 + y = -2 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 = -2 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = -2 + -0.75 y = -2 + -0.75 Combine like terms: -2 + -0.75 = -2.75 y = -2.75 Simplifying y = -2.75Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.25, -2.75}
| 3(5)=33 | | 19-3(m+4)+4m=42-18 | | 5x^3-2x^2+45x-18=0 | | 2(-5x+7)= | | 5x^3-2x^2-45x-18=0 | | 2x-3(-7x-8)=114 | | 5x^3+2x^2+45x-18=0 | | 2-(-6+3x)= | | 4(2-3x)= | | -4x+2(-x-9)=24 | | -(-6x+3)= | | -4(x+2)=-20 | | 8b^2-15b-2=0 | | 36=4(2x-3) | | 12=4x+3(3x+19) | | -2(20+4x)=-24 | | -(3x-2)=-10 | | 2(10-3x)=-28 | | 12+(3-x)=7 | | 7x+2(-6x-17)=-148 | | -8=-12-(6-x) | | 20-4(6-x)=4 | | -6=16+(2-6x) | | -(x-6)+5=3 | | 21+2(x-6)=27 | | 1/3^2+3z=0 | | 0=y^2-3y+1.25 | | 15-13y=17-5y | | 3.6=4c-8 | | 9e-3=62.7 | | 4p=9.2 | | 7(a+3)=35 |