If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15a2 + 9a3 + -5a3 + -5a2 + -3a2 + -4a4 = 0 Reorder the terms: 15a2 + -5a2 + -3a2 + 9a3 + -5a3 + -4a4 = 0 Combine like terms: 15a2 + -5a2 = 10a2 10a2 + -3a2 + 9a3 + -5a3 + -4a4 = 0 Combine like terms: 10a2 + -3a2 = 7a2 7a2 + 9a3 + -5a3 + -4a4 = 0 Combine like terms: 9a3 + -5a3 = 4a3 7a2 + 4a3 + -4a4 = 0 Solving 7a2 + 4a3 + -4a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(7 + 4a + -4a2) = 0Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(7 + 4a + -4a2)' equal to zero and attempt to solve: Simplifying 7 + 4a + -4a2 = 0 Solving 7 + 4a + -4a2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -1.75 + -1a + a2 = 0 Move the constant term to the right: Add '1.75' to each side of the equation. -1.75 + -1a + 1.75 + a2 = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + -1a + a2 = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + -1a + a2 = 0 + 1.75 -1a + a2 = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 -1a + a2 = 1.75 The a term is -1a. 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. -1a + 0.25 + a2 = 1.75 + 0.25 Reorder the terms: 0.25 + -1a + a2 = 1.75 + 0.25 Combine like terms: 1.75 + 0.25 = 2 0.25 + -1a + a2 = 2 Factor a perfect square on the left side: (a + -0.5)(a + -0.5) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (a + -0.5) equal to 1.414213562 and -1.414213562.Subproblem 1
a + -0.5 = 1.414213562 Simplifying a + -0.5 = 1.414213562 Reorder the terms: -0.5 + a = 1.414213562 Solving -0.5 + a = 1.414213562 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + a = 1.414213562 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + a = 1.414213562 + 0.5 a = 1.414213562 + 0.5 Combine like terms: 1.414213562 + 0.5 = 1.914213562 a = 1.914213562 Simplifying a = 1.914213562Subproblem 2
a + -0.5 = -1.414213562 Simplifying a + -0.5 = -1.414213562 Reorder the terms: -0.5 + a = -1.414213562 Solving -0.5 + a = -1.414213562 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + a = -1.414213562 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + a = -1.414213562 + 0.5 a = -1.414213562 + 0.5 Combine like terms: -1.414213562 + 0.5 = -0.914213562 a = -0.914213562 Simplifying a = -0.914213562Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.914213562, -0.914213562}Solution
a = {0, 1.914213562, -0.914213562}
| 1/3•3.14•640 | | x^2(x+2)=24 | | 61.5x=441-1.5x | | x^2+7x+40= | | 3x+x+8=4x+x+5 | | 2x-4x-11= | | 3(3g-8)=2g-3 | | 7n-12=3n-20 | | 12c-39=7c-74 | | (5x-1)=(7x-23) | | 2x+B-7=56 | | 7d+8=2d+18 | | 1/3w-3/2=-5/7 | | x²-11/x-4 | | 9j-5=3j-5 | | -28.3x^3+3.09x^2+262.3=0 | | 8b-32=3b-62 | | 5n+1=25 | | 100-x/5000=10x | | 6e-36=e-71 | | 4(x-2)-3(x-1)=8x-10 | | 2a^2*a^2=360 | | 20-x/3=x2 | | 8f-1=6f+1 | | 9t-17=4t-32 | | 9t-17-4t-3= | | 5x-1=2x-23 | | 14/3x14/3 | | .10x+0.35(50)=22.5 | | 6u-26=2u-50 | | X=x-2000 | | 2(x-7)+7=4x-(2x+4)-3 |