If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2L2 + 9L = 8 Reorder the terms: 9L + 2L2 = 8 Solving 9L + 2L2 = 8 Solving for variable 'L'. Reorder the terms: -8 + 9L + 2L2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 9L + 2L2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -4 + 4.5L + L2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + 4.5L + 4 + L2 = 0 + 4 Reorder the terms: -4 + 4 + 4.5L + L2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4.5L + L2 = 0 + 4 4.5L + L2 = 0 + 4 Combine like terms: 0 + 4 = 4 4.5L + L2 = 4 The L term is 4.5L. 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. 4.5L + 5.0625 + L2 = 4 + 5.0625 Reorder the terms: 5.0625 + 4.5L + L2 = 4 + 5.0625 Combine like terms: 4 + 5.0625 = 9.0625 5.0625 + 4.5L + L2 = 9.0625 Factor a perfect square on the left side: (L + 2.25)(L + 2.25) = 9.0625 Calculate the square root of the right side: 3.010398645 Break this problem into two subproblems by setting (L + 2.25) equal to 3.010398645 and -3.010398645.Subproblem 1
L + 2.25 = 3.010398645 Simplifying L + 2.25 = 3.010398645 Reorder the terms: 2.25 + L = 3.010398645 Solving 2.25 + L = 3.010398645 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + L = 3.010398645 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + L = 3.010398645 + -2.25 L = 3.010398645 + -2.25 Combine like terms: 3.010398645 + -2.25 = 0.760398645 L = 0.760398645 Simplifying L = 0.760398645Subproblem 2
L + 2.25 = -3.010398645 Simplifying L + 2.25 = -3.010398645 Reorder the terms: 2.25 + L = -3.010398645 Solving 2.25 + L = -3.010398645 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + L = -3.010398645 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + L = -3.010398645 + -2.25 L = -3.010398645 + -2.25 Combine like terms: -3.010398645 + -2.25 = -5.260398645 L = -5.260398645 Simplifying L = -5.260398645Solution
The solution to the problem is based on the solutions from the subproblems. L = {0.760398645, -5.260398645}
| 2x(3x-1)(x-9)=0 | | (4x+12)=150 | | 4-2w=38 | | 7p^2+36p+5=0 | | 12=x+x^4 | | 7p^2+36p=0 | | C=-1x+-1x^2 | | 3x^2-24d=3 | | .09x+x=525 | | -x+7=-128 | | 1/3(x=4)^2-1=5 | | Q=x+x^4 | | -8(x-2)(x-7)=0 | | z^2-(5+i)+(8+i)=0 | | -3/5x | | 6.6=h/8 | | 6=-3/b | | 3x(x-3)=1 | | z^2-5+i+8+i=0 | | 8r+13-5=0 | | -30+2x=4 | | 6z-28=-42+8z | | 3xy+3x=0 | | 3xy+3x=4 | | 2/3x^2-3=7 | | z/4=6.5 | | 54+2+3g=65 | | 4p-27=-48+p | | -7a+6=-8 | | 115-(67-x)-(59-x)-x+71-(44-x)-(59-x)-x+88-(67-x)-(44-x)-x-(59-x)-(67-x)-(44-x)+36=182 | | -10+3x=9 | | 115-(67-x)-(59-x)-x+71-(44-x)-(59-x)-x+88-(67-x)-(44-x)-x+(59-x)+(67-x)+(44-x)+36=182 |