If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6a3 + -65a2 + 77a = 0 Reorder the terms: 77a + -65a2 + 6a3 = 0 Solving 77a + -65a2 + 6a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(77 + -65a + 6a2) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(77 + -65a + 6a2)' equal to zero and attempt to solve: Simplifying 77 + -65a + 6a2 = 0 Solving 77 + -65a + 6a2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 12.83333333 + -10.83333333a + a2 = 0 Move the constant term to the right: Add '-12.83333333' to each side of the equation. 12.83333333 + -10.83333333a + -12.83333333 + a2 = 0 + -12.83333333 Reorder the terms: 12.83333333 + -12.83333333 + -10.83333333a + a2 = 0 + -12.83333333 Combine like terms: 12.83333333 + -12.83333333 = 0.00000000 0.00000000 + -10.83333333a + a2 = 0 + -12.83333333 -10.83333333a + a2 = 0 + -12.83333333 Combine like terms: 0 + -12.83333333 = -12.83333333 -10.83333333a + a2 = -12.83333333 The a term is -10.83333333a. Take half its coefficient (-5.416666665). Square it (29.34027776) and add it to both sides. Add '29.34027776' to each side of the equation. -10.83333333a + 29.34027776 + a2 = -12.83333333 + 29.34027776 Reorder the terms: 29.34027776 + -10.83333333a + a2 = -12.83333333 + 29.34027776 Combine like terms: -12.83333333 + 29.34027776 = 16.50694443 29.34027776 + -10.83333333a + a2 = 16.50694443 Factor a perfect square on the left side: (a + -5.416666665)(a + -5.416666665) = 16.50694443 Calculate the square root of the right side: 4.062873913 Break this problem into two subproblems by setting (a + -5.416666665) equal to 4.062873913 and -4.062873913.Subproblem 1
a + -5.416666665 = 4.062873913 Simplifying a + -5.416666665 = 4.062873913 Reorder the terms: -5.416666665 + a = 4.062873913 Solving -5.416666665 + a = 4.062873913 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5.416666665' to each side of the equation. -5.416666665 + 5.416666665 + a = 4.062873913 + 5.416666665 Combine like terms: -5.416666665 + 5.416666665 = 0.000000000 0.000000000 + a = 4.062873913 + 5.416666665 a = 4.062873913 + 5.416666665 Combine like terms: 4.062873913 + 5.416666665 = 9.479540578 a = 9.479540578 Simplifying a = 9.479540578Subproblem 2
a + -5.416666665 = -4.062873913 Simplifying a + -5.416666665 = -4.062873913 Reorder the terms: -5.416666665 + a = -4.062873913 Solving -5.416666665 + a = -4.062873913 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5.416666665' to each side of the equation. -5.416666665 + 5.416666665 + a = -4.062873913 + 5.416666665 Combine like terms: -5.416666665 + 5.416666665 = 0.000000000 0.000000000 + a = -4.062873913 + 5.416666665 a = -4.062873913 + 5.416666665 Combine like terms: -4.062873913 + 5.416666665 = 1.353792752 a = 1.353792752 Simplifying a = 1.353792752Solution
The solution to the problem is based on the solutions from the subproblems. a = {9.479540578, 1.353792752}Solution
a = {0, 9.479540578, 1.353792752}
| -18+x^2+6x=0 | | (-6i)(-8i)= | | 7y^2-6y-9=0 | | 2x^2-200x=0 | | 7a+29=35b+22 | | 7(4a-3)-(2a+1)9=2(a-9) | | 8(x-9)=2(3x-8) | | 9=40+5 | | (2/3)p-4=6 | | 4t^2+2t-5=0 | | 7x=4(x-9)+3 | | y/6-3=1 | | 2622=3800-0.69 | | (-x+10)(-x-14)=0 | | 200m-100m+58500=60000-200m | | x/6-10=7/12 | | 40/38 | | 3s^2-s-9=0 | | -117=-9(x+3) | | 2(-3a+5)=49(a+4) | | 7/8n=35 | | 2a-8+4a=5a+6 | | 38=-6x-x+3 | | 1/2x-9=2 | | 4y-6=-42 | | (2/5)c-8=4 | | (5x-2)+(x^2+8)=90 | | 4y^2-2y^3-7y^2+5y^3= | | 14v-9v=30 | | 4c^2-52c^3+186c^2=0 | | -18=-3(z-6)+2z | | 12x^2-44x+126=0 |