If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3y2 + 114y + 504 = 1456 Reorder the terms: 504 + 114y + -3y2 = 1456 Solving 504 + 114y + -3y2 = 1456 Solving for variable 'y'. Reorder the terms: 504 + -1456 + 114y + -3y2 = 1456 + -1456 Combine like terms: 504 + -1456 = -952 -952 + 114y + -3y2 = 1456 + -1456 Combine like terms: 1456 + -1456 = 0 -952 + 114y + -3y2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 317.3333333 + -38y + y2 = 0 Move the constant term to the right: Add '-317.3333333' to each side of the equation. 317.3333333 + -38y + -317.3333333 + y2 = 0 + -317.3333333 Reorder the terms: 317.3333333 + -317.3333333 + -38y + y2 = 0 + -317.3333333 Combine like terms: 317.3333333 + -317.3333333 = 0.0000000 0.0000000 + -38y + y2 = 0 + -317.3333333 -38y + y2 = 0 + -317.3333333 Combine like terms: 0 + -317.3333333 = -317.3333333 -38y + y2 = -317.3333333 The y term is -38y. Take half its coefficient (-19). Square it (361) and add it to both sides. Add '361' to each side of the equation. -38y + 361 + y2 = -317.3333333 + 361 Reorder the terms: 361 + -38y + y2 = -317.3333333 + 361 Combine like terms: -317.3333333 + 361 = 43.6666667 361 + -38y + y2 = 43.6666667 Factor a perfect square on the left side: (y + -19)(y + -19) = 43.6666667 Calculate the square root of the right side: 6.60807587 Break this problem into two subproblems by setting (y + -19) equal to 6.60807587 and -6.60807587.Subproblem 1
y + -19 = 6.60807587 Simplifying y + -19 = 6.60807587 Reorder the terms: -19 + y = 6.60807587 Solving -19 + y = 6.60807587 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + y = 6.60807587 + 19 Combine like terms: -19 + 19 = 0 0 + y = 6.60807587 + 19 y = 6.60807587 + 19 Combine like terms: 6.60807587 + 19 = 25.60807587 y = 25.60807587 Simplifying y = 25.60807587Subproblem 2
y + -19 = -6.60807587 Simplifying y + -19 = -6.60807587 Reorder the terms: -19 + y = -6.60807587 Solving -19 + y = -6.60807587 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + y = -6.60807587 + 19 Combine like terms: -19 + 19 = 0 0 + y = -6.60807587 + 19 y = -6.60807587 + 19 Combine like terms: -6.60807587 + 19 = 12.39192413 y = 12.39192413 Simplifying y = 12.39192413Solution
The solution to the problem is based on the solutions from the subproblems. y = {25.60807587, 12.39192413}
| 3(x+2)-4=-10 | | 9x+25=3x+1 | | -5(7+3x)=-50 | | 21=5p+6 | | 2a-8=30a | | 5x+6x=90 | | -x+2(-2)=-8 | | 4P+3=11 | | -11=z+(+15) | | 2n^2-12n+16=0 | | 410=82 | | 3(6x-5)(4x+3)=0 | | (8+2x)4=7+3x | | 12(.29+.06y)+4y=40 | | x-5=3x-6 | | 3(3a-2)=3/4(4-24a) | | (x^8)-(9x^8)ln(x)=0 | | 41x=492 | | 6x-2(x+4)=12 | | p+2=8 | | 5(b+4)6b=-24 | | 6(1-x)+4x=-2(x+1)+5 | | 2.5+2.5+x+x=2.5xx | | 4(c-5)=a+b | | 35x^2y^2+9xy-2=0 | | -14=2n+1+3n | | 28-0.3y=0.3y-12 | | 12x^2-12-x^3+x=0 | | 6z-7=2z-z | | 17x-7=50 | | 3x+8x-121=77 | | 3(5-3(x-4))=2x+9 |