If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 18y2 + 20y + 3 = 0 Reorder the terms: 3 + 20y + 18y2 = 0 Solving 3 + 20y + 18y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.1666666667 + 1.111111111y + y2 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + 1.111111111y + -0.1666666667 + y2 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + 1.111111111y + y2 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + 1.111111111y + y2 = 0 + -0.1666666667 1.111111111y + y2 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 1.111111111y + y2 = -0.1666666667 The y term is 1.111111111y. Take half its coefficient (0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. 1.111111111y + 0.3086419752 + y2 = -0.1666666667 + 0.3086419752 Reorder the terms: 0.3086419752 + 1.111111111y + y2 = -0.1666666667 + 0.3086419752 Combine like terms: -0.1666666667 + 0.3086419752 = 0.1419753085 0.3086419752 + 1.111111111y + y2 = 0.1419753085 Factor a perfect square on the left side: (y + 0.5555555555)(y + 0.5555555555) = 0.1419753085 Calculate the square root of the right side: 0.37679611 Break this problem into two subproblems by setting (y + 0.5555555555) equal to 0.37679611 and -0.37679611.Subproblem 1
y + 0.5555555555 = 0.37679611 Simplifying y + 0.5555555555 = 0.37679611 Reorder the terms: 0.5555555555 + y = 0.37679611 Solving 0.5555555555 + y = 0.37679611 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5555555555' to each side of the equation. 0.5555555555 + -0.5555555555 + y = 0.37679611 + -0.5555555555 Combine like terms: 0.5555555555 + -0.5555555555 = 0.0000000000 0.0000000000 + y = 0.37679611 + -0.5555555555 y = 0.37679611 + -0.5555555555 Combine like terms: 0.37679611 + -0.5555555555 = -0.1787594455 y = -0.1787594455 Simplifying y = -0.1787594455Subproblem 2
y + 0.5555555555 = -0.37679611 Simplifying y + 0.5555555555 = -0.37679611 Reorder the terms: 0.5555555555 + y = -0.37679611 Solving 0.5555555555 + y = -0.37679611 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5555555555' to each side of the equation. 0.5555555555 + -0.5555555555 + y = -0.37679611 + -0.5555555555 Combine like terms: 0.5555555555 + -0.5555555555 = 0.0000000000 0.0000000000 + y = -0.37679611 + -0.5555555555 y = -0.37679611 + -0.5555555555 Combine like terms: -0.37679611 + -0.5555555555 = -0.9323516655 y = -0.9323516655 Simplifying y = -0.9323516655Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.1787594455, -0.9323516655}
| 3x-5.8+4x=13.1 | | 43+5x-8=90 | | 24x^2-15x-9=0 | | -14r-48=2(r+8) | | 3.5r=245 | | A+8-4=-2 | | 4=22a | | 4x^3-3x-k=0 | | 3n-5=2*n | | 8y+2=2(y+5)-y | | 3v=4v-6 | | w/3=−9 | | -30x^2+13x+10=0 | | 3(f+4)=18 | | 9t-10=7t-6 | | -6(3x+4)=32 | | 2/0.0095 | | 8.63x+16=74.4769+4x | | 4+x+3x=-2(2x+5) | | 5x+4=3x^2 | | -48x^2+36x+12=0 | | 8/4x=26/4 | | -4(4y-4)-y=-2(y-3) | | -8+8b+2b=-18 | | 2b+7=5b+1b | | 2m-3-5=-10 | | 8(1+3x)-1=7(1+8x) | | 0.666666667(p-12)=-(2p-1)+7 | | 56x^2-41x-7=0 | | 0.5t+3.6=42-1.5t | | 9(y+1)=-9 | | -14f+3.8=1.3f-5.8 |