If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5x2 + 3x = 33 Reorder the terms: 3x + 0.5x2 = 33 Solving 3x + 0.5x2 = 33 Solving for variable 'x'. Reorder the terms: -33 + 3x + 0.5x2 = 33 + -33 Combine like terms: 33 + -33 = 0 -33 + 3x + 0.5x2 = 0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -66 + 6x + x2 = 0 Move the constant term to the right: Add '66' to each side of the equation. -66 + 6x + 66 + x2 = 0 + 66 Reorder the terms: -66 + 66 + 6x + x2 = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 6x + x2 = 0 + 66 6x + x2 = 0 + 66 Combine like terms: 0 + 66 = 66 6x + x2 = 66 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 66 + 9 Reorder the terms: 9 + 6x + x2 = 66 + 9 Combine like terms: 66 + 9 = 75 9 + 6x + x2 = 75 Factor a perfect square on the left side: (x + 3)(x + 3) = 75 Calculate the square root of the right side: 8.660254038 Break this problem into two subproblems by setting (x + 3) equal to 8.660254038 and -8.660254038.Subproblem 1
x + 3 = 8.660254038 Simplifying x + 3 = 8.660254038 Reorder the terms: 3 + x = 8.660254038 Solving 3 + x = 8.660254038 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 8.660254038 + -3 Combine like terms: 3 + -3 = 0 0 + x = 8.660254038 + -3 x = 8.660254038 + -3 Combine like terms: 8.660254038 + -3 = 5.660254038 x = 5.660254038 Simplifying x = 5.660254038Subproblem 2
x + 3 = -8.660254038 Simplifying x + 3 = -8.660254038 Reorder the terms: 3 + x = -8.660254038 Solving 3 + x = -8.660254038 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -8.660254038 + -3 Combine like terms: 3 + -3 = 0 0 + x = -8.660254038 + -3 x = -8.660254038 + -3 Combine like terms: -8.660254038 + -3 = -11.660254038 x = -11.660254038 Simplifying x = -11.660254038Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.660254038, -11.660254038}
| 5(x-4)-8x=-14 | | (5-2y)(4+3y)= | | -7-2x=5+x | | 3(5m-4)+3= | | g(4)=7-2y | | 10a=3a+21 | | 2c+7+c=4+3c+3 | | 6/24-15/24= | | 2x+2+9x=180 | | 12=2y-12 | | 201/3-41/2-61/4 | | 68=v/4 | | 3f=3.9 | | -15+2x=15-3x | | (3x-12)+51=90 | | 2x+2+9x=360 | | -24=w-11 | | -2m=-11.4 | | v+4.8=1.2 | | 3x^2+14x=16 | | 3m+[-8]=-23 | | 8y-8+2(3y+3)=-4(y+1) | | p/-1=-1.69 | | g-7.8=-3.5 | | m+-18.9=-12.08 | | x^2+125x+3564=0 | | f-143=156 | | 46.50g+15=5.25 | | 13s-4s-3s=18 | | n-929=4 | | 6z-z-z-3z=18 | | 15-4a=-21 |