If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x3 + x2 + -20x = 0 Reorder the terms: -20x + x2 + 3x3 = 0 Solving -20x + x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + x + 3x2) = 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 '(-20 + x + 3x2)' equal to zero and attempt to solve: Simplifying -20 + x + 3x2 = 0 Solving -20 + x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -6.666666667 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '6.666666667' to each side of the equation. -6.666666667 + 0.3333333333x + 6.666666667 + x2 = 0 + 6.666666667 Reorder the terms: -6.666666667 + 6.666666667 + 0.3333333333x + x2 = 0 + 6.666666667 Combine like terms: -6.666666667 + 6.666666667 = 0.000000000 0.000000000 + 0.3333333333x + x2 = 0 + 6.666666667 0.3333333333x + x2 = 0 + 6.666666667 Combine like terms: 0 + 6.666666667 = 6.666666667 0.3333333333x + x2 = 6.666666667 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.3333333333x + 0.25 + x2 = 6.666666667 + 0.25 Reorder the terms: 0.25 + 0.3333333333x + x2 = 6.666666667 + 0.25 Combine like terms: 6.666666667 + 0.25 = 6.916666667 0.25 + 0.3333333333x + x2 = 6.916666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 6.916666667 Calculate the square root of the right side: 2.62995564 Break this problem into two subproblems by setting (x + 0.5) equal to 2.62995564 and -2.62995564.Subproblem 1
x + 0.5 = 2.62995564 Simplifying x + 0.5 = 2.62995564 Reorder the terms: 0.5 + x = 2.62995564 Solving 0.5 + x = 2.62995564 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 2.62995564 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 2.62995564 + -0.5 x = 2.62995564 + -0.5 Combine like terms: 2.62995564 + -0.5 = 2.12995564 x = 2.12995564 Simplifying x = 2.12995564Subproblem 2
x + 0.5 = -2.62995564 Simplifying x + 0.5 = -2.62995564 Reorder the terms: 0.5 + x = -2.62995564 Solving 0.5 + x = -2.62995564 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -2.62995564 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -2.62995564 + -0.5 x = -2.62995564 + -0.5 Combine like terms: -2.62995564 + -0.5 = -3.12995564 x = -3.12995564 Simplifying x = -3.12995564Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.12995564, -3.12995564}Solution
x = {0, 2.12995564, -3.12995564}
| 36/5=t+1/5 | | n-9=-29/3 | | 46/11=x+4 | | 4/9+d=1 | | 1/9+d=-61/99 | | 2/7d=-9/35 | | b-5/6=55/6 | | -1/2m=1/12 | | 4/7x-4/5=-4/5+4/5x | | 1/3x+4/7=-1/2x+229/462 | | 3x^2+x-20=0 | | x+5=8+6x | | -5x+5=-3x+3 | | 5/7x+2/5=-2x-841/35 | | 1/4x+2/3=-235/12+7x | | 7x+8=-5/7x+218/7 | | 4x+2/5=-142/5+2/5x | | 10x-166=4x-10 | | 5+2x=-x+29/4 | | 7x+2=202/7+2/7x | | 3/5-1/2x=3x-3/2 | | -1/3-5x=1/3x-23/5 | | 2/3x+9=42-3x | | 1/4x+1=-4+2/3x | | 2/5x-1/3=-82/15+7x | | 5-6x=3/5x-61 | | 6/7+x=-7x+48/7 | | -2/3x+6/7=1147/252-7x | | 1/3+3x=-2x-29/3 | | -4/7x-3/5=-x-111/35 | | 4/5x-1/3=82/15-5x | | 88-2x=43x+23 |