If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + 2y + -5 = -4.072 Reorder the terms: -5 + 2y + 2y2 = -4.072 Solving -5 + 2y + 2y2 = -4.072 Solving for variable 'y'. Reorder the terms: -5 + 4.072 + 2y + 2y2 = -4.072 + 4.072 Combine like terms: -5 + 4.072 = -0.928 -0.928 + 2y + 2y2 = -4.072 + 4.072 Combine like terms: -4.072 + 4.072 = 0.000 -0.928 + 2y + 2y2 = 0.000 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.464 + y + y2 = 0.000 Move the constant term to the right: Add '0.464' to each side of the equation. -0.464 + y + 0.464 + y2 = 0.000 + 0.464 Reorder the terms: -0.464 + 0.464 + y + y2 = 0.000 + 0.464 Combine like terms: -0.464 + 0.464 = 0.000 0.000 + y + y2 = 0.000 + 0.464 y + y2 = 0.000 + 0.464 Combine like terms: 0.000 + 0.464 = 0.464 y + y2 = 0.464 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + y2 = 0.464 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + y2 = 0.464 + 0.25 Combine like terms: 0.464 + 0.25 = 0.714 1.25 + y2 = 0.714 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = 0.714 Calculate the square root of the right side: 0.844985207 Break this problem into two subproblems by setting (y + 0.5) equal to 0.844985207 and -0.844985207.Subproblem 1
y + 0.5 = 0.844985207 Simplifying y + 0.5 = 0.844985207 Reorder the terms: 0.5 + y = 0.844985207 Solving 0.5 + y = 0.844985207 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = 0.844985207 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 0.844985207 + -0.5 y = 0.844985207 + -0.5 Combine like terms: 0.844985207 + -0.5 = 0.344985207 y = 0.344985207 Simplifying y = 0.344985207Subproblem 2
y + 0.5 = -0.844985207 Simplifying y + 0.5 = -0.844985207 Reorder the terms: 0.5 + y = -0.844985207 Solving 0.5 + y = -0.844985207 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = -0.844985207 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = -0.844985207 + -0.5 y = -0.844985207 + -0.5 Combine like terms: -0.844985207 + -0.5 = -1.344985207 y = -1.344985207 Simplifying y = -1.344985207Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.344985207, -1.344985207}
| 2(3y-7)=34 | | 3x+3x+6=18 | | 5*1.2=n | | i^41= | | 118-2x=x^2-18x+82 | | 7x=8(5x+6) | | -9r^2-5=605 | | 8x-(5x-6)=27 | | 3y+7=2(y-3) | | (39x-27)-(25x-48)=(34x-17)-(23x-63) | | x+(x*0.12)=35 | | 4y-5+y+49=7y+50-5y | | 3a-5=-8(6+5a) | | 2x+11x=-39 | | 8=9tanx | | 3x-15=85 | | 2xy+6y= | | -3y+6-2y+4=20 | | 14=x-65 | | 11(z+1)-3(z-2)=4(z-1)+3(z-2) | | -222=8(5n-7)-6 | | 5x+2(7x+17)=148 | | .25y-3.5=.15y+1-.8y | | [2k+6]=[k] | | 9b^2+18b=-8 | | -14=5y+6 | | 4s-28=-14+2s | | 7(x+6)9=9 | | 3x-4-4x=5-5x+3x | | -39=-5v+3(v-7) | | -5(x+6)9=9 | | [2r+5]=3r |