If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + -19y + 33 = 0 Reorder the terms: 33 + -19y + 2y2 = 0 Solving 33 + -19y + 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'. 16.5 + -9.5y + y2 = 0 Move the constant term to the right: Add '-16.5' to each side of the equation. 16.5 + -9.5y + -16.5 + y2 = 0 + -16.5 Reorder the terms: 16.5 + -16.5 + -9.5y + y2 = 0 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + -9.5y + y2 = 0 + -16.5 -9.5y + y2 = 0 + -16.5 Combine like terms: 0 + -16.5 = -16.5 -9.5y + y2 = -16.5 The y term is -9.5y. Take half its coefficient (-4.75). Square it (22.5625) and add it to both sides. Add '22.5625' to each side of the equation. -9.5y + 22.5625 + y2 = -16.5 + 22.5625 Reorder the terms: 22.5625 + -9.5y + y2 = -16.5 + 22.5625 Combine like terms: -16.5 + 22.5625 = 6.0625 22.5625 + -9.5y + y2 = 6.0625 Factor a perfect square on the left side: (y + -4.75)(y + -4.75) = 6.0625 Calculate the square root of the right side: 2.46221445 Break this problem into two subproblems by setting (y + -4.75) equal to 2.46221445 and -2.46221445.Subproblem 1
y + -4.75 = 2.46221445 Simplifying y + -4.75 = 2.46221445 Reorder the terms: -4.75 + y = 2.46221445 Solving -4.75 + y = 2.46221445 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4.75' to each side of the equation. -4.75 + 4.75 + y = 2.46221445 + 4.75 Combine like terms: -4.75 + 4.75 = 0.00 0.00 + y = 2.46221445 + 4.75 y = 2.46221445 + 4.75 Combine like terms: 2.46221445 + 4.75 = 7.21221445 y = 7.21221445 Simplifying y = 7.21221445Subproblem 2
y + -4.75 = -2.46221445 Simplifying y + -4.75 = -2.46221445 Reorder the terms: -4.75 + y = -2.46221445 Solving -4.75 + y = -2.46221445 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4.75' to each side of the equation. -4.75 + 4.75 + y = -2.46221445 + 4.75 Combine like terms: -4.75 + 4.75 = 0.00 0.00 + y = -2.46221445 + 4.75 y = -2.46221445 + 4.75 Combine like terms: -2.46221445 + 4.75 = 2.28778555 y = 2.28778555 Simplifying y = 2.28778555Solution
The solution to the problem is based on the solutions from the subproblems. y = {7.21221445, 2.28778555}
| 6z+5=6z-z | | 6x+7-5x=10 | | 12(x-13)-3x=117 | | x=2400/30 | | 3(2x+5)-8(x+1)=2x-5 | | 7-7=4-5 | | 6y+3y=8y-9 | | 4x+7(x-6)=4(x-7) | | 7-7=-7-5 | | 18-x=x^2+4x+4 | | 3x-7(9-x)=12 | | -(9-5a)-(7+4a)-25=-(8-7a)+(-a)+7 | | 5m+9=3m-23 | | 25x-5y=125 | | 1/2(10x-8)=3 | | -2(x-6)+7=31 | | 10x+25=45 | | -52=8+10x | | 3v^2-4=11v | | (7y-34)=57 | | 5a-14=4(a+1)+18a+2 | | 3x+2x+10=3x+7 | | 35-11x=19+5x | | 4n+4=28 | | 1200=45n | | -2.8x=56.0 | | 180/3=2.5x+6 | | -[6z-(16z+4)]=4+(9z+6) | | -30y-25=9y^2 | | (n-5)*10=20 | | 10n=5n+6+4n | | 5x+4y-5x-4y= |