If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x3 + -21x2 + 30x = 0 Reorder the terms: 30x + -21x2 + 2x3 = 0 Solving 30x + -21x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(30 + -21x + 2x2) = 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 '(30 + -21x + 2x2)' equal to zero and attempt to solve: Simplifying 30 + -21x + 2x2 = 0 Solving 30 + -21x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15 + -10.5x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -10.5x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -10.5x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -10.5x + x2 = 0 + -15 -10.5x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -10.5x + x2 = -15 The x term is -10.5x. Take half its coefficient (-5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. -10.5x + 27.5625 + x2 = -15 + 27.5625 Reorder the terms: 27.5625 + -10.5x + x2 = -15 + 27.5625 Combine like terms: -15 + 27.5625 = 12.5625 27.5625 + -10.5x + x2 = 12.5625 Factor a perfect square on the left side: (x + -5.25)(x + -5.25) = 12.5625 Calculate the square root of the right side: 3.54436172 Break this problem into two subproblems by setting (x + -5.25) equal to 3.54436172 and -3.54436172.Subproblem 1
x + -5.25 = 3.54436172 Simplifying x + -5.25 = 3.54436172 Reorder the terms: -5.25 + x = 3.54436172 Solving -5.25 + x = 3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.25' to each side of the equation. -5.25 + 5.25 + x = 3.54436172 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + x = 3.54436172 + 5.25 x = 3.54436172 + 5.25 Combine like terms: 3.54436172 + 5.25 = 8.79436172 x = 8.79436172 Simplifying x = 8.79436172Subproblem 2
x + -5.25 = -3.54436172 Simplifying x + -5.25 = -3.54436172 Reorder the terms: -5.25 + x = -3.54436172 Solving -5.25 + x = -3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.25' to each side of the equation. -5.25 + 5.25 + x = -3.54436172 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + x = -3.54436172 + 5.25 x = -3.54436172 + 5.25 Combine like terms: -3.54436172 + 5.25 = 1.70563828 x = 1.70563828 Simplifying x = 1.70563828Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.79436172, 1.70563828}Solution
x = {0, 8.79436172, 1.70563828}
| -4x-8=3x-5+11x | | -20m-75=10m+25 | | a+1+3a=17 | | 8n+4=3 | | (-x+3)log(4)=(6x)log(3) | | 8-3m=-7 | | 4n/5=10 | | 16/3-14/3 | | 3x+y+70=180 | | 3/8y=-24 | | 16/3-14 | | n/13=11 | | 3(2x+5y)+4(x-2y)= | | (((13X3)-3)/3 | | 19=x/15 | | 5x+3(x+4)=25 | | .2-20=35 | | 77.6x=698.4 | | X+2x-8= | | 2(-2x-3)-1=5x-7-9 | | 7(2x-5)=4x+9-x | | 2(-x-4)=-11x-8+9x | | 4x^2+11=36+x^2 | | 786450=x-(0.6x) | | 1.75=5.25 | | 786450=x-0.6x | | 15xwhat=150 | | 6=-y+42 | | 9m-15= | | x^2+33x+656= | | 21x^2+3x-18=0 | | (2y-25)=x^2 |