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 = 84 Reorder the terms: 3y + 2y2 = 84 Solving 3y + 2y2 = 84 Solving for variable 'y'. Reorder the terms: -84 + 3y + 2y2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 3y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -42 + 1.5y + y2 = 0 Move the constant term to the right: Add '42' to each side of the equation. -42 + 1.5y + 42 + y2 = 0 + 42 Reorder the terms: -42 + 42 + 1.5y + y2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 1.5y + y2 = 0 + 42 1.5y + y2 = 0 + 42 Combine like terms: 0 + 42 = 42 1.5y + y2 = 42 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 = 42 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = 42 + 0.5625 Combine like terms: 42 + 0.5625 = 42.5625 0.5625 + 1.5y + y2 = 42.5625 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = 42.5625 Calculate the square root of the right side: 6.523994175 Break this problem into two subproblems by setting (y + 0.75) equal to 6.523994175 and -6.523994175.Subproblem 1
y + 0.75 = 6.523994175 Simplifying y + 0.75 = 6.523994175 Reorder the terms: 0.75 + y = 6.523994175 Solving 0.75 + y = 6.523994175 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 = 6.523994175 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = 6.523994175 + -0.75 y = 6.523994175 + -0.75 Combine like terms: 6.523994175 + -0.75 = 5.773994175 y = 5.773994175 Simplifying y = 5.773994175Subproblem 2
y + 0.75 = -6.523994175 Simplifying y + 0.75 = -6.523994175 Reorder the terms: 0.75 + y = -6.523994175 Solving 0.75 + y = -6.523994175 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 = -6.523994175 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + y = -6.523994175 + -0.75 y = -6.523994175 + -0.75 Combine like terms: -6.523994175 + -0.75 = -7.273994175 y = -7.273994175 Simplifying y = -7.273994175Solution
The solution to the problem is based on the solutions from the subproblems. y = {5.773994175, -7.273994175}
| 5-1y-y=-1 | | 24r-2(3r-7)=2r+2 | | 10+2x+4x=316 | | 18c=37 | | B=500(1+.02) | | 12=x^2-7x | | 5h=230 | | X+x+10+4x=316 | | 2x+4(41-y)=116 | | -2(3)(-4)(5)(-1)= | | B=500(1+.02)t | | -3(n+6)+10=-11 | | 3(v-6)=7v+22 | | 6(3a-2)+5a=-24 | | 14xsquared+10x= | | xa+yb+zc=d | | y-9=5(x-4) | | 9x^4-24x^2+45x=0 | | 18=5t-t | | 133-w=215 | | 2sec^2(x)tan(x)=0 | | 11-3(4x-5)=-4 | | -6-3x=-3-2(3x-7) | | 478/50 | | 3/4m-6=3 | | -5/6a=2 | | 4x+10=9+3x | | 2x-5+6x=3(6x-4)+5 | | -2x+2x=-6(1+3x)+12(x+10) | | -4x-3(2x-8)=25 | | 4-4r=6-(1+5r) | | 1/4a=5/4 |