If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x3 + -18x2 + 4x = 0 Reorder the terms: 4x + -18x2 + 12x3 = 0 Solving 4x + -18x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(2 + -9x + 6x2) = 0 Ignore the factor 2.Subproblem 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 '(2 + -9x + 6x2)' equal to zero and attempt to solve: Simplifying 2 + -9x + 6x2 = 0 Solving 2 + -9x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.3333333333 + -1.5x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -1.5x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -1.5x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -1.5x + x2 = 0 + -0.3333333333 -1.5x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -1.5x + x2 = -0.3333333333 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 = -0.3333333333 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -0.3333333333 + 0.5625 Combine like terms: -0.3333333333 + 0.5625 = 0.2291666667 0.5625 + -1.5x + x2 = 0.2291666667 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 0.2291666667 Calculate the square root of the right side: 0.478713554 Break this problem into two subproblems by setting (x + -0.75) equal to 0.478713554 and -0.478713554.Subproblem 1
x + -0.75 = 0.478713554 Simplifying x + -0.75 = 0.478713554 Reorder the terms: -0.75 + x = 0.478713554 Solving -0.75 + x = 0.478713554 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 = 0.478713554 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 0.478713554 + 0.75 x = 0.478713554 + 0.75 Combine like terms: 0.478713554 + 0.75 = 1.228713554 x = 1.228713554 Simplifying x = 1.228713554Subproblem 2
x + -0.75 = -0.478713554 Simplifying x + -0.75 = -0.478713554 Reorder the terms: -0.75 + x = -0.478713554 Solving -0.75 + x = -0.478713554 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 = -0.478713554 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -0.478713554 + 0.75 x = -0.478713554 + 0.75 Combine like terms: -0.478713554 + 0.75 = 0.271286446 x = 0.271286446 Simplifying x = 0.271286446Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.228713554, 0.271286446}Solution
x = {0, 1.228713554, 0.271286446}
| 2r-13=45 | | 3x+9=-6x-99 | | 13+m-4=-40 | | 6y+27=48 | | 6y+7=-23 | | -10+3y=17 | | 3x+-6=2x+6 | | 9=r-(-15) | | -10k^2+k=-3 | | X+(X(0.05))=247.65 | | X+(X(0.05))=1000 | | (x^2+1)(x^2-5)=0 | | 11=3k+2 | | X+(X*0.05)=247.65 | | -2x+3=-21+x | | X+(x(.05))=247.65 | | 3(x-5)+5x=3x-5+5x | | 0.20*12+1*x=0.80(12+x) | | (-4x^2+3x-1)-(4x+2)=0 | | (6^2-2^3)/5 | | -19=8-9x | | 0=6x^2-50x+75 | | 8y+11=23 | | x+4=(-2) | | 7z-7z+5z=5 | | .80(12)=.80(w+12) | | 15h+11h-15h+20h+2h+-14=14 | | 15d+5d+9=-11 | | 9g+7g-15g=-9 | | 9g-6g=9 | | x^4-2x^2-8x-3=0 | | 6y+21=48 |