If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x3 + 15x2 + -27x = 0 Reorder the terms: -27x + 15x2 + 6x3 = 0 Solving -27x + 15x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-9 + 5x + 2x2) = 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 '(-9 + 5x + 2x2)' equal to zero and attempt to solve: Simplifying -9 + 5x + 2x2 = 0 Solving -9 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -4.5 + 2.5x + x2 = 0 Move the constant term to the right: Add '4.5' to each side of the equation. -4.5 + 2.5x + 4.5 + x2 = 0 + 4.5 Reorder the terms: -4.5 + 4.5 + 2.5x + x2 = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 2.5x + x2 = 0 + 4.5 2.5x + x2 = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 2.5x + x2 = 4.5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 4.5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 4.5 + 1.5625 Combine like terms: 4.5 + 1.5625 = 6.0625 1.5625 + 2.5x + x2 = 6.0625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 6.0625 Calculate the square root of the right side: 2.46221445 Break this problem into two subproblems by setting (x + 1.25) equal to 2.46221445 and -2.46221445.Subproblem 1
x + 1.25 = 2.46221445 Simplifying x + 1.25 = 2.46221445 Reorder the terms: 1.25 + x = 2.46221445 Solving 1.25 + x = 2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 2.46221445 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 2.46221445 + -1.25 x = 2.46221445 + -1.25 Combine like terms: 2.46221445 + -1.25 = 1.21221445 x = 1.21221445 Simplifying x = 1.21221445Subproblem 2
x + 1.25 = -2.46221445 Simplifying x + 1.25 = -2.46221445 Reorder the terms: 1.25 + x = -2.46221445 Solving 1.25 + x = -2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -2.46221445 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -2.46221445 + -1.25 x = -2.46221445 + -1.25 Combine like terms: -2.46221445 + -1.25 = -3.71221445 x = -3.71221445 Simplifying x = -3.71221445Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.21221445, -3.71221445}Solution
x = {0, 1.21221445, -3.71221445}
| 6x+18=2x-6 | | (7+w)(4w+9)=0 | | 9x-4(x-2)=4+20 | | y-(-3)=(7/8)(x-2) | | y=0.50x+18 | | 0,3x=x-0,5 | | y-(-5)=(8/9)(x-7) | | y-(-5)=(7/8)(x-2) | | 42x+6y=24 | | ln(x)+ln(9)=5 | | 9w+3/4=8w+2/7+6 | | 5x-6=37 | | 5x+4.5-(-x)-8.6=0 | | 4(c+2)=-22 | | ((32n^4)^(1/3))/((4n)^(1/3)) | | (6y-1)1/4 | | 2x-7=54 | | 62+7x=65+4x | | 18y^7/3y | | 4x^2-11x+3=4 | | 2x+1/3x=10 | | 2/7=9/x | | 5/6=x/8 | | 6/11=x/22 | | 14x+6x^2=52 | | 4+8s-2=9s+16-3s | | s=g/c | | 2w+6(w-8)=-16 | | s=ft | | 4x+171=6x+193 | | 5(u+7)-2u=17 | | 5x^2+30x-7=21 |