If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + 9y = -6 Reorder the terms: 9y + 2y2 = -6 Solving 9y + 2y2 = -6 Solving for variable 'y'. Reorder the terms: 6 + 9y + 2y2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 9y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3 + 4.5y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 4.5y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 4.5y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4.5y + y2 = 0 + -3 4.5y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 4.5y + y2 = -3 The y term is 4.5y. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5y + 5.0625 + y2 = -3 + 5.0625 Reorder the terms: 5.0625 + 4.5y + y2 = -3 + 5.0625 Combine like terms: -3 + 5.0625 = 2.0625 5.0625 + 4.5y + y2 = 2.0625 Factor a perfect square on the left side: (y + 2.25)(y + 2.25) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (y + 2.25) equal to 1.436140662 and -1.436140662.Subproblem 1
y + 2.25 = 1.436140662 Simplifying y + 2.25 = 1.436140662 Reorder the terms: 2.25 + y = 1.436140662 Solving 2.25 + y = 1.436140662 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + y = 1.436140662 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + y = 1.436140662 + -2.25 y = 1.436140662 + -2.25 Combine like terms: 1.436140662 + -2.25 = -0.813859338 y = -0.813859338 Simplifying y = -0.813859338Subproblem 2
y + 2.25 = -1.436140662 Simplifying y + 2.25 = -1.436140662 Reorder the terms: 2.25 + y = -1.436140662 Solving 2.25 + y = -1.436140662 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + y = -1.436140662 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + y = -1.436140662 + -2.25 y = -1.436140662 + -2.25 Combine like terms: -1.436140662 + -2.25 = -3.686140662 y = -3.686140662 Simplifying y = -3.686140662Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.813859338, -3.686140662}
| 3m+10n=11 | | 12n+24=84 | | 3u-8=14 | | f*-1=7(2*-1-4)+5 | | -x-11=13-2x | | -60+6x=-9x+120 | | 5x=-6x+10 | | X-9=-10+5 | | -24-3x=6-4x | | x(0.5)=1.25 | | B+2-6b= | | A+18=7d | | x+4=21x+2.50 | | 3/24=9/n | | 3(x^2)+2x=-2x+4y | | -9-5=6x+5-5x | | 5x-5=-6x+5 | | 7x+4y=90 | | -7x-8y=-6 | | 8(k-4)-20=4(k+6) | | -5(2a-6)=-8(a+5) | | log(x+3)=4 | | f*3=7(2*3-4)+5 | | -x-45=-6x+30 | | 84=5y-16 | | 0.9x+8.25=1.5(2+2z) | | 7x+4y=360 | | 8x-67=3x+33 | | 20r=19 | | x-9y=1 | | 8(2x-4)-6(8x+1)=y | | Ln(x/2.45)=-0.00177 |