If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x2 + -18x + -24 = 0 Reorder the terms: -24 + -18x + 12x2 = 0 Solving -24 + -18x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + -3x + 2x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + -3x + 2x2)' equal to zero and attempt to solve: Simplifying -4 + -3x + 2x2 = 0 Solving -4 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -2 + -1.5x + x2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -1.5x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + -1.5x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5x + x2 = 0 + 2 -1.5x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1.5x + x2 = 2 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 = 2 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 2 + 0.5625 Combine like terms: 2 + 0.5625 = 2.5625 0.5625 + -1.5x + x2 = 2.5625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 2.5625 Calculate the square root of the right side: 1.600781059 Break this problem into two subproblems by setting (x + -0.75) equal to 1.600781059 and -1.600781059.Subproblem 1
x + -0.75 = 1.600781059 Simplifying x + -0.75 = 1.600781059 Reorder the terms: -0.75 + x = 1.600781059 Solving -0.75 + x = 1.600781059 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 = 1.600781059 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.600781059 + 0.75 x = 1.600781059 + 0.75 Combine like terms: 1.600781059 + 0.75 = 2.350781059 x = 2.350781059 Simplifying x = 2.350781059Subproblem 2
x + -0.75 = -1.600781059 Simplifying x + -0.75 = -1.600781059 Reorder the terms: -0.75 + x = -1.600781059 Solving -0.75 + x = -1.600781059 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 = -1.600781059 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.600781059 + 0.75 x = -1.600781059 + 0.75 Combine like terms: -1.600781059 + 0.75 = -0.850781059 x = -0.850781059 Simplifying x = -0.850781059Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.350781059, -0.850781059}Solution
x = {2.350781059, -0.850781059}
| 2x+11=11+2 | | 17.9=5n-2 | | x+3=2+3 | | 120+100+120+(x+10)+120+x=720 | | 3.37+0.533=x | | 3(1)-8=1 | | 4d+8=6-12 | | (7+u)(5u+1)=0 | | -8x-4(-1-4x)=8x-4 | | 6.99+0.599=x | | 9-w=5 | | 2x^2-6x+3-4x-18x^2= | | 0.55-0.494=x | | 4a=-2(32-10a) | | 9+(-5.4)= | | 1=(1/3)x-5 | | 3(1+a)-5=3d-2 | | 1/8(3t-6)=11/8t-t-6/16 | | x/8-9x/16=1/8 | | x/5=x/2-2 | | 0.52-0.141=x | | 3(-3)-8=1 | | 5/8x-17=3 | | 5.2=1.5-0.5y | | 8r=88 | | 3x+3y+3x+y=180 | | 8(y-4)=6(y-8) | | 2m=8m+14 | | 2(3x-1)=12-x | | (4x-5)(2-x)=y | | y+3x=80 | | 1.424=x/1000 |