If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3y2 + 4 = 11y Reorder the terms: 4 + 3y2 = 11y Solving 4 + 3y2 = 11y Solving for variable 'y'. Reorder the terms: 4 + -11y + 3y2 = 11y + -11y Combine like terms: 11y + -11y = 0 4 + -11y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + -3.666666667y + y2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -3.666666667y + -1.333333333 + y2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -3.666666667y + y2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -3.666666667y + y2 = 0 + -1.333333333 -3.666666667y + y2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -3.666666667y + y2 = -1.333333333 The y term is -3.666666667y. Take half its coefficient (-1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. -3.666666667y + 3.361111114 + y2 = -1.333333333 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667y + y2 = -1.333333333 + 3.361111114 Combine like terms: -1.333333333 + 3.361111114 = 2.027777781 3.361111114 + -3.666666667y + y2 = 2.027777781 Factor a perfect square on the left side: (y + -1.833333334)(y + -1.833333334) = 2.027777781 Calculate the square root of the right side: 1.424000625 Break this problem into two subproblems by setting (y + -1.833333334) equal to 1.424000625 and -1.424000625.Subproblem 1
y + -1.833333334 = 1.424000625 Simplifying y + -1.833333334 = 1.424000625 Reorder the terms: -1.833333334 + y = 1.424000625 Solving -1.833333334 + y = 1.424000625 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + y = 1.424000625 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + y = 1.424000625 + 1.833333334 y = 1.424000625 + 1.833333334 Combine like terms: 1.424000625 + 1.833333334 = 3.257333959 y = 3.257333959 Simplifying y = 3.257333959Subproblem 2
y + -1.833333334 = -1.424000625 Simplifying y + -1.833333334 = -1.424000625 Reorder the terms: -1.833333334 + y = -1.424000625 Solving -1.833333334 + y = -1.424000625 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + y = -1.424000625 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + y = -1.424000625 + 1.833333334 y = -1.424000625 + 1.833333334 Combine like terms: -1.424000625 + 1.833333334 = 0.409332709 y = 0.409332709 Simplifying y = 0.409332709Solution
The solution to the problem is based on the solutions from the subproblems. y = {3.257333959, 0.409332709}
| 7.87=2(3.14r) | | 10x+8=-12 | | 20h+5=9(-5h+15) | | y=(1/2)(18) | | 4X=-22 | | 6(p-12)=2(-6+18p) | | y=(1/2)(-12) | | 3p+-2=25 | | 4-6x=-18 | | 4(2w+3)-14w=8(2w+7) | | 2.3v=13.8 | | -7+6x=65 | | 8(n-3)-4n= | | -15j=-6(j+9) | | s+s(6)+20=25 | | -12=-5-6n | | y^2-11y=12 | | 8x+12=7x+9 | | -9.1r+16.16=-10.7r | | (x^2-x-3)(x^2+4x+2)= | | 3x-2(7-x)=5(2x+1) | | 7.81+15k=18.6k+2.05 | | 3x-8=6x-8 | | 6(x-5)=3(x-14) | | m+n=5 | | 19.6d+6.94=7.24+16.3d+3.1d | | s+s(6)=5 | | 8x-2+5x=8+7x-4 | | 8x-3(2+2x)= | | -18.7p+12.87=-19.8p | | 10+5x=55 | | 11-4n=49 |