If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 32x3 + 6x2 = 9x Reorder the terms: 6x2 + 32x3 = 9x Solving 6x2 + 32x3 = 9x Solving for variable 'x'. Reorder the terms: -9x + 6x2 + 32x3 = 9x + -9x Combine like terms: 9x + -9x = 0 -9x + 6x2 + 32x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 6x + 32x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-9 + 6x + 32x2)' equal to zero and attempt to solve: Simplifying -9 + 6x + 32x2 = 0 Solving -9 + 6x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. -0.28125 + 0.1875x + x2 = 0 Move the constant term to the right: Add '0.28125' to each side of the equation. -0.28125 + 0.1875x + 0.28125 + x2 = 0 + 0.28125 Reorder the terms: -0.28125 + 0.28125 + 0.1875x + x2 = 0 + 0.28125 Combine like terms: -0.28125 + 0.28125 = 0.00000 0.00000 + 0.1875x + x2 = 0 + 0.28125 0.1875x + x2 = 0 + 0.28125 Combine like terms: 0 + 0.28125 = 0.28125 0.1875x + x2 = 0.28125 The x term is 0.1875x. Take half its coefficient (0.09375). Square it (0.0087890625) and add it to both sides. Add '0.0087890625' to each side of the equation. 0.1875x + 0.0087890625 + x2 = 0.28125 + 0.0087890625 Reorder the terms: 0.0087890625 + 0.1875x + x2 = 0.28125 + 0.0087890625 Combine like terms: 0.28125 + 0.0087890625 = 0.2900390625 0.0087890625 + 0.1875x + x2 = 0.2900390625 Factor a perfect square on the left side: (x + 0.09375)(x + 0.09375) = 0.2900390625 Calculate the square root of the right side: 0.538552748 Break this problem into two subproblems by setting (x + 0.09375) equal to 0.538552748 and -0.538552748.Subproblem 1
x + 0.09375 = 0.538552748 Simplifying x + 0.09375 = 0.538552748 Reorder the terms: 0.09375 + x = 0.538552748 Solving 0.09375 + x = 0.538552748 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09375' to each side of the equation. 0.09375 + -0.09375 + x = 0.538552748 + -0.09375 Combine like terms: 0.09375 + -0.09375 = 0.00000 0.00000 + x = 0.538552748 + -0.09375 x = 0.538552748 + -0.09375 Combine like terms: 0.538552748 + -0.09375 = 0.444802748 x = 0.444802748 Simplifying x = 0.444802748Subproblem 2
x + 0.09375 = -0.538552748 Simplifying x + 0.09375 = -0.538552748 Reorder the terms: 0.09375 + x = -0.538552748 Solving 0.09375 + x = -0.538552748 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09375' to each side of the equation. 0.09375 + -0.09375 + x = -0.538552748 + -0.09375 Combine like terms: 0.09375 + -0.09375 = 0.00000 0.00000 + x = -0.538552748 + -0.09375 x = -0.538552748 + -0.09375 Combine like terms: -0.538552748 + -0.09375 = -0.632302748 x = -0.632302748 Simplifying x = -0.632302748Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.444802748, -0.632302748}Solution
x = {0, 0.444802748, -0.632302748}
| 3/7+3m=-51/28 | | 7a+2/3=-166/3 | | -3/4+2t=5/4 | | 5d+6=17/7 | | -5/6a+8=13 | | 5+3/7n=19/4 | | 6/7m-1/3=-1/21 | | 1/3a+2=50/27 | | 3/5a+3/4=21/44 | | 4/7+6x=380/77 | | -5/8-6n=119/40 | | -7t+2=4/9 | | 9+3d=24 | | -n-7/10=53/10 | | 1+3/4n=-13/2 | | w+2=27/11 | | 4t-3/7=25/7 | | 51=a-3x | | 3/7+5k=-113/63 | | 2d-3/5=0 | | 9-5/6x=23/2 | | -7d+3/5=-26/15 | | 2m-6=-14/3 | | b/-7=5/7 | | 13/2=x+7 | | n+10=17 | | 74/9=b+8 | | -7/9=n+2/9 | | m-10=-5 | | -29/5=x-4/5 | | n+4=25/8 | | X-9+1/2x=180 |