If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x3 + -31x2 + 15x = 0 Reorder the terms: 15x + -31x2 + 12x3 = 0 Solving 15x + -31x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -31x + 12x2) = 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 '(15 + -31x + 12x2)' equal to zero and attempt to solve: Simplifying 15 + -31x + 12x2 = 0 Solving 15 + -31x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.25 + -2.583333333x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -2.583333333x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -2.583333333x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -2.583333333x + x2 = 0 + -1.25 -2.583333333x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -2.583333333x + x2 = -1.25 The x term is -2.583333333x. Take half its coefficient (-1.291666667). Square it (1.668402779) and add it to both sides. Add '1.668402779' to each side of the equation. -2.583333333x + 1.668402779 + x2 = -1.25 + 1.668402779 Reorder the terms: 1.668402779 + -2.583333333x + x2 = -1.25 + 1.668402779 Combine like terms: -1.25 + 1.668402779 = 0.418402779 1.668402779 + -2.583333333x + x2 = 0.418402779 Factor a perfect square on the left side: (x + -1.291666667)(x + -1.291666667) = 0.418402779 Calculate the square root of the right side: 0.646840613 Break this problem into two subproblems by setting (x + -1.291666667) equal to 0.646840613 and -0.646840613.Subproblem 1
x + -1.291666667 = 0.646840613 Simplifying x + -1.291666667 = 0.646840613 Reorder the terms: -1.291666667 + x = 0.646840613 Solving -1.291666667 + x = 0.646840613 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.291666667' to each side of the equation. -1.291666667 + 1.291666667 + x = 0.646840613 + 1.291666667 Combine like terms: -1.291666667 + 1.291666667 = 0.000000000 0.000000000 + x = 0.646840613 + 1.291666667 x = 0.646840613 + 1.291666667 Combine like terms: 0.646840613 + 1.291666667 = 1.93850728 x = 1.93850728 Simplifying x = 1.93850728Subproblem 2
x + -1.291666667 = -0.646840613 Simplifying x + -1.291666667 = -0.646840613 Reorder the terms: -1.291666667 + x = -0.646840613 Solving -1.291666667 + x = -0.646840613 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.291666667' to each side of the equation. -1.291666667 + 1.291666667 + x = -0.646840613 + 1.291666667 Combine like terms: -1.291666667 + 1.291666667 = 0.000000000 0.000000000 + x = -0.646840613 + 1.291666667 x = -0.646840613 + 1.291666667 Combine like terms: -0.646840613 + 1.291666667 = 0.644826054 x = 0.644826054 Simplifying x = 0.644826054Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.93850728, 0.644826054}Solution
x = {0, 1.93850728, 0.644826054}
| 5x-4=5x-3+11 | | 35.80a+5.90=220.70 | | 6m+4m-2m-6m-m=13 | | ln(X)=4.2 | | Y=6x^2+8 | | 437=f+219 | | 7x^2-53x+36=8 | | 7(5)=x+5 | | 14h-13h+4h=20 | | 5y=7+7y | | 4*6=30 | | -Y+9Z-16y-25Z=equation | | 121/2x10x22 | | 14x-13h+4h=20 | | x+5-3x=1+2x | | 14x-13x+4h=20 | | 27b^3=48b | | -1=1-(1/4a) | | 6+4(r-2)=1r | | 5x+3y=700 | | -1.8x=10.8 | | 7/9(x-9)=14 | | 0=1/4a | | C-6=c/3 | | y=6x+275 | | 2e^3x+1=9 | | 2t+3=9(t-2) | | -6(m+7)-6m=-6(m+4) | | 8v^2=336+8v | | (x^2y/4x^5)^-2 | | 5x-8=x^2-2x-26 | | 9p-2+p=-6(-9p+2)-6(-7+7p) |