If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -12x3 + 60x2 + 75x = 0 Reorder the terms: 75x + 60x2 + -12x3 = 0 Solving 75x + 60x2 + -12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(25 + 20x + -4x2) = 0 Ignore the factor 3.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 '(25 + 20x + -4x2)' equal to zero and attempt to solve: Simplifying 25 + 20x + -4x2 = 0 Solving 25 + 20x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -6.25 + -5x + x2 = 0 Move the constant term to the right: Add '6.25' to each side of the equation. -6.25 + -5x + 6.25 + x2 = 0 + 6.25 Reorder the terms: -6.25 + 6.25 + -5x + x2 = 0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + -5x + x2 = 0 + 6.25 -5x + x2 = 0 + 6.25 Combine like terms: 0 + 6.25 = 6.25 -5x + x2 = 6.25 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = 6.25 + 6.25 Reorder the terms: 6.25 + -5x + x2 = 6.25 + 6.25 Combine like terms: 6.25 + 6.25 = 12.5 6.25 + -5x + x2 = 12.5 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 12.5 Calculate the square root of the right side: 3.535533906 Break this problem into two subproblems by setting (x + -2.5) equal to 3.535533906 and -3.535533906.Subproblem 1
x + -2.5 = 3.535533906 Simplifying x + -2.5 = 3.535533906 Reorder the terms: -2.5 + x = 3.535533906 Solving -2.5 + x = 3.535533906 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 3.535533906 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 3.535533906 + 2.5 x = 3.535533906 + 2.5 Combine like terms: 3.535533906 + 2.5 = 6.035533906 x = 6.035533906 Simplifying x = 6.035533906Subproblem 2
x + -2.5 = -3.535533906 Simplifying x + -2.5 = -3.535533906 Reorder the terms: -2.5 + x = -3.535533906 Solving -2.5 + x = -3.535533906 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -3.535533906 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -3.535533906 + 2.5 x = -3.535533906 + 2.5 Combine like terms: -3.535533906 + 2.5 = -1.035533906 x = -1.035533906 Simplifying x = -1.035533906Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.035533906, -1.035533906}Solution
x = {0, 6.035533906, -1.035533906}
| 46+x=21 | | a+5d-7=0 | | z-36=-42 | | 1-4c=980 | | 7(x-4)=35 | | 11x+5-4x-3=15 | | 10-5z=10z-26 | | 2/3x-10=22 | | 3.4x+12.3=-1.3 | | a^2-2a=3 | | 0.05(4-x)+0.1=0.32 | | 147/21 | | -[7x+(9x+7)]=9-(4x+6) | | 34+x=6 | | x/12/9=-27 | | F(x)=x^2+6x-7 | | 6=34+x | | (-2x+3)= | | 1/2x+2/5x-4/5=-1 | | 9+2x=48 | | 3x+x+1=2 | | 3p+18= | | 1/4b=16 | | 9+2x=240 | | 270+3x=4(x+30) | | -3f+2-5f=24 | | 6p+6= | | 4x-10+2x+15= | | 11x-6=4x+15 | | 2x-3=x^2-9x+9 | | 9s^2-30s+25= | | 0=3x^3-x^2-75x+25 |