If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 10y + 3 = 0 Reorder the terms: 3 + 10y + y2 = 0 Solving 3 + 10y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 10y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 10y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10y + y2 = 0 + -3 10y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 10y + y2 = -3 The y term is 10y. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10y + 25 + y2 = -3 + 25 Reorder the terms: 25 + 10y + y2 = -3 + 25 Combine like terms: -3 + 25 = 22 25 + 10y + y2 = 22 Factor a perfect square on the left side: (y + 5)(y + 5) = 22 Calculate the square root of the right side: 4.69041576 Break this problem into two subproblems by setting (y + 5) equal to 4.69041576 and -4.69041576.Subproblem 1
y + 5 = 4.69041576 Simplifying y + 5 = 4.69041576 Reorder the terms: 5 + y = 4.69041576 Solving 5 + y = 4.69041576 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 4.69041576 + -5 Combine like terms: 5 + -5 = 0 0 + y = 4.69041576 + -5 y = 4.69041576 + -5 Combine like terms: 4.69041576 + -5 = -0.30958424 y = -0.30958424 Simplifying y = -0.30958424Subproblem 2
y + 5 = -4.69041576 Simplifying y + 5 = -4.69041576 Reorder the terms: 5 + y = -4.69041576 Solving 5 + y = -4.69041576 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = -4.69041576 + -5 Combine like terms: 5 + -5 = 0 0 + y = -4.69041576 + -5 y = -4.69041576 + -5 Combine like terms: -4.69041576 + -5 = -9.69041576 y = -9.69041576 Simplifying y = -9.69041576Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.30958424, -9.69041576}
| 1500=-50p | | -2/5-1/3x=-1/2 | | x^2+4+16=0 | | w/w-4-2w/2w-5=w-2/2w^2-13w+20 | | 6.21(1-7.8r)=-24.20764+75R | | -2(2x-8)=4x+16 | | -3r+34=4r-15 | | x^3+4x^2+7x+28=0 | | 106-(7x+4)=7(x-6)+x | | 90/4 | | 12-3/4(x+15)=4 | | -3/2=7/2w-8/3 | | -10(-6w+-5)+5w= | | 2y+-7+5y=0 | | 3/7y=-33 | | y/6-3.5=-22.7 | | (x-5)=-4 | | 44+n=22 | | -1/2y+1/5=-1/7 | | x(m+2)+y(m-2)=z(m-7)form | | 4m-29=-26+7m | | -1/2y+1/5=-1/6 | | (485-)(42+2)5+230=g | | 42=3m | | (7x)/7 | | 6(6t+1)-10=t-(t+3) | | -4/5d=20 | | x(m+2)+y(m-2)=z(m-7) | | 8x+6y+4z=6 | | -4x-3y=25 | | 64.5g=-25.8 | | -4/7-5/3v=-1/3 |