If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 36x + 75 = 0 Reorder the terms: 75 + 36x + 4x2 = 0 Solving 75 + 36x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 18.75 + 9x + x2 = 0 Move the constant term to the right: Add '-18.75' to each side of the equation. 18.75 + 9x + -18.75 + x2 = 0 + -18.75 Reorder the terms: 18.75 + -18.75 + 9x + x2 = 0 + -18.75 Combine like terms: 18.75 + -18.75 = 0.00 0.00 + 9x + x2 = 0 + -18.75 9x + x2 = 0 + -18.75 Combine like terms: 0 + -18.75 = -18.75 9x + x2 = -18.75 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -18.75 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -18.75 + 20.25 Combine like terms: -18.75 + 20.25 = 1.5 20.25 + 9x + x2 = 1.5 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 1.5 Calculate the square root of the right side: 1.224744871 Break this problem into two subproblems by setting (x + 4.5) equal to 1.224744871 and -1.224744871.Subproblem 1
x + 4.5 = 1.224744871 Simplifying x + 4.5 = 1.224744871 Reorder the terms: 4.5 + x = 1.224744871 Solving 4.5 + x = 1.224744871 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 1.224744871 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 1.224744871 + -4.5 x = 1.224744871 + -4.5 Combine like terms: 1.224744871 + -4.5 = -3.275255129 x = -3.275255129 Simplifying x = -3.275255129Subproblem 2
x + 4.5 = -1.224744871 Simplifying x + 4.5 = -1.224744871 Reorder the terms: 4.5 + x = -1.224744871 Solving 4.5 + x = -1.224744871 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -1.224744871 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -1.224744871 + -4.5 x = -1.224744871 + -4.5 Combine like terms: -1.224744871 + -4.5 = -5.724744871 x = -5.724744871 Simplifying x = -5.724744871Solution
The solution to the problem is based on the solutions from the subproblems. x = {-3.275255129, -5.724744871}
| 5x+7=2+6x | | 9y+6-2y=6+5y-11 | | 3a-(2a+3)= | | 13y+11=11y-9 | | a^2+6a-40=0 | | -5=0.25y-14 | | 4y=5y+2 | | n+n=6 | | 5t^2+9-18=0 | | -2(2y+7)=-18 | | 7=0.166666667s+11 | | 1+x=2x+3 | | 4=6+5v-6v | | -3x-5=25+7x | | 7y=80+9y | | 4m+8=9m-7 | | 7-2(5-x)=5x-2(x-1) | | 7ac-8b+7c= | | m^2-6m-55=0 | | 9x^2+16x-8=0 | | x+2x=7,5 | | 33=(5+2w)w | | 12=3x+4 | | 0.25x=-2 | | 4=5x+10 | | 0.166666667s=4 | | 0=2w^2+5w-33 | | 6y-14=5y-3 | | 3x^3+15X^2+18=0 | | 4t^2+2t=0 | | -s=83 | | solver-9.8=-5.8 |