If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 32x + 5 = 0 Reorder the terms: 5 + 32x + 4x2 = 0 Solving 5 + 32x + 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'. 1.25 + 8x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 8x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 8x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 8x + x2 = 0 + -1.25 8x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 8x + x2 = -1.25 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -1.25 + 16 Reorder the terms: 16 + 8x + x2 = -1.25 + 16 Combine like terms: -1.25 + 16 = 14.75 16 + 8x + x2 = 14.75 Factor a perfect square on the left side: (x + 4)(x + 4) = 14.75 Calculate the square root of the right side: 3.840572874 Break this problem into two subproblems by setting (x + 4) equal to 3.840572874 and -3.840572874.Subproblem 1
x + 4 = 3.840572874 Simplifying x + 4 = 3.840572874 Reorder the terms: 4 + x = 3.840572874 Solving 4 + x = 3.840572874 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 3.840572874 + -4 Combine like terms: 4 + -4 = 0 0 + x = 3.840572874 + -4 x = 3.840572874 + -4 Combine like terms: 3.840572874 + -4 = -0.159427126 x = -0.159427126 Simplifying x = -0.159427126Subproblem 2
x + 4 = -3.840572874 Simplifying x + 4 = -3.840572874 Reorder the terms: 4 + x = -3.840572874 Solving 4 + x = -3.840572874 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -3.840572874 + -4 Combine like terms: 4 + -4 = 0 0 + x = -3.840572874 + -4 x = -3.840572874 + -4 Combine like terms: -3.840572874 + -4 = -7.840572874 x = -7.840572874 Simplifying x = -7.840572874Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.159427126, -7.840572874}
| 37-5x=17 | | (1/2*n)-(1*5/12)=(2/3*n)-(2*1/6) | | 3/5*1/4 | | 11/x=11/100 | | 17y=41 | | 1/3(c-4)=12 | | (x/3)+1=(x/5)+3 | | r-4=-31.2 | | k-1209=12345 | | 9/2m-8=-5.5+4m | | 4/x+2/x+1-5/x-5 | | 2.5y=2 | | 7x^2+7y^2+56x+28y-35=0 | | 15y=3 | | 7/x=84/12 | | 2/5+3/4 | | 5(-2)+2y=-8 | | H^2+2h+1=0 | | 4/x+2/x+1 | | 8.7=y+-4.6 | | 2(h-3)+4h+7+31=180 | | -(x-4)=2x^2-9x-4 | | -(8-7a)-(9+6a)-20=-(7-6a)+(-a)+6 | | x^2+8xy+7y^2=0 | | 32=8(x-1) | | -7=x-7 | | 19x=-38 | | x/5=15/25 | | 3/4+5/6 | | -(877a)-(9+6a)-20=-(7-6a)+(-a)+6 | | 3x-5=-3(6+5x) | | x+2x+x/2-2=180 |