If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 16x = -16 Reorder the terms: 16x + 2x2 = -16 Solving 16x + 2x2 = -16 Solving for variable 'x'. Reorder the terms: 16 + 16x + 2x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 8x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 8x + x2)' equal to zero and attempt to solve: Simplifying 8 + 8x + x2 = 0 Solving 8 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 8x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 8x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8x + x2 = 0 + -8 8x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 8x + x2 = -8 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 = -8 + 16 Reorder the terms: 16 + 8x + x2 = -8 + 16 Combine like terms: -8 + 16 = 8 16 + 8x + x2 = 8 Factor a perfect square on the left side: (x + 4)(x + 4) = 8 Calculate the square root of the right side: 2.828427125 Break this problem into two subproblems by setting (x + 4) equal to 2.828427125 and -2.828427125.Subproblem 1
x + 4 = 2.828427125 Simplifying x + 4 = 2.828427125 Reorder the terms: 4 + x = 2.828427125 Solving 4 + x = 2.828427125 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 = 2.828427125 + -4 Combine like terms: 4 + -4 = 0 0 + x = 2.828427125 + -4 x = 2.828427125 + -4 Combine like terms: 2.828427125 + -4 = -1.171572875 x = -1.171572875 Simplifying x = -1.171572875Subproblem 2
x + 4 = -2.828427125 Simplifying x + 4 = -2.828427125 Reorder the terms: 4 + x = -2.828427125 Solving 4 + x = -2.828427125 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 = -2.828427125 + -4 Combine like terms: 4 + -4 = 0 0 + x = -2.828427125 + -4 x = -2.828427125 + -4 Combine like terms: -2.828427125 + -4 = -6.828427125 x = -6.828427125 Simplifying x = -6.828427125Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.171572875, -6.828427125}Solution
x = {-1.171572875, -6.828427125}
| 4x^2+24x-160=0 | | 6x-1=2(3x+7) | | 2x^2+10x-48= | | 6+6m-3=4m+27-2m | | 2(x+3)=5x-7 | | 6=-1y+42-2y | | (4+2y)x= | | -12t-5m+15=17-6t-t | | 10.1=8m-5.5 | | 5(3x+7)-10=10x-5 | | 0.60=0.05x+0.10 | | 5x^2+50x+45=0 | | x^2-3x+7i=0 | | 3y-13=0 | | -6b+2=2-7b | | -12m-5t+15=17+6m-m | | 42+70z=28 | | sin(6*x)=0 | | 18-2x=-8(3) | | -14x^2-59x-12=0 | | 60=3d+8 | | 15(-8n-36)=-21(2-18n) | | 7(y+9)=7(y-4) | | sin(6x)=0 | | 5r+r=-3+3r | | -1(4)=-y-6(4) | | 295h-39=350-33h | | 3t^2-39t-21=0 | | 4=-y-6(4) | | 6-9p=42 | | -5m+1=-3m-2m | | 9y+4=8y-9 |