If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16x2 + 24x = 8 Reorder the terms: 24x + 16x2 = 8 Solving 24x + 16x2 = 8 Solving for variable 'x'. Reorder the terms: -8 + 24x + 16x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 24x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-1 + 3x + 2x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-1 + 3x + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 3x + 2x2 = 0 Solving -1 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + 1.5x + x2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 1.5x + 0.5 + x2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 1.5x + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.5x + x2 = 0 + 0.5 1.5x + x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 1.5x + x2 = 0.5 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 0.5 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 0.5 + 0.5625 Combine like terms: 0.5 + 0.5625 = 1.0625 0.5625 + 1.5x + x2 = 1.0625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 1.0625 Calculate the square root of the right side: 1.030776406 Break this problem into two subproblems by setting (x + 0.75) equal to 1.030776406 and -1.030776406.Subproblem 1
x + 0.75 = 1.030776406 Simplifying x + 0.75 = 1.030776406 Reorder the terms: 0.75 + x = 1.030776406 Solving 0.75 + x = 1.030776406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 1.030776406 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 1.030776406 + -0.75 x = 1.030776406 + -0.75 Combine like terms: 1.030776406 + -0.75 = 0.280776406 x = 0.280776406 Simplifying x = 0.280776406Subproblem 2
x + 0.75 = -1.030776406 Simplifying x + 0.75 = -1.030776406 Reorder the terms: 0.75 + x = -1.030776406 Solving 0.75 + x = -1.030776406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -1.030776406 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -1.030776406 + -0.75 x = -1.030776406 + -0.75 Combine like terms: -1.030776406 + -0.75 = -1.780776406 x = -1.780776406 Simplifying x = -1.780776406Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.280776406, -1.780776406}Solution
x = {0.280776406, -1.780776406}
| y-4/5=2/1/2 | | 5g+2(-6+2g)=2(1+g) | | 18+5m=-9 | | 13p-5p+4p+4p-13p=18 | | q+5q-3q-2q=11 | | -12/3-6 | | 5=1+2r | | -16m+14m=8 | | 12+-8a=-5a | | 5x+5=7x | | h=5t^2+35t | | u/8=8 | | -3+2n+7n=3n+9 | | 25x^2-30x-2=0 | | 9m+4n+6m-8n= | | 6x-7=-12 | | 2x-2(-2x+1)2y=4 | | 5m-11=6(m-1)-m | | 4y=66 | | F(3)=7-x/4 | | 12d-3d=18 | | 4h-h=3 | | 4x+2y=400 | | -3(2x+7)+4x=-35 | | X=8/y | | 11*1/11 | | 5x-(3-x)=6-2x | | 2x-3/5=3-x/2 | | 19-5x=27 | | x^2-10x+41=5x+5 | | 1/11*-33 | | 2(5x+7)=6x-18 |