If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a3 + 3a2 + -42a = 0 Reorder the terms: -42a + 3a2 + 2a3 = 0 Solving -42a + 3a2 + 2a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-42 + 3a + 2a2) = 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 '(-42 + 3a + 2a2)' equal to zero and attempt to solve: Simplifying -42 + 3a + 2a2 = 0 Solving -42 + 3a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -21 + 1.5a + a2 = 0 Move the constant term to the right: Add '21' to each side of the equation. -21 + 1.5a + 21 + a2 = 0 + 21 Reorder the terms: -21 + 21 + 1.5a + a2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1.5a + a2 = 0 + 21 1.5a + a2 = 0 + 21 Combine like terms: 0 + 21 = 21 1.5a + a2 = 21 The a term is 1.5a. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5a + 0.5625 + a2 = 21 + 0.5625 Reorder the terms: 0.5625 + 1.5a + a2 = 21 + 0.5625 Combine like terms: 21 + 0.5625 = 21.5625 0.5625 + 1.5a + a2 = 21.5625 Factor a perfect square on the left side: (a + 0.75)(a + 0.75) = 21.5625 Calculate the square root of the right side: 4.643543905 Break this problem into two subproblems by setting (a + 0.75) equal to 4.643543905 and -4.643543905.Subproblem 1
a + 0.75 = 4.643543905 Simplifying a + 0.75 = 4.643543905 Reorder the terms: 0.75 + a = 4.643543905 Solving 0.75 + a = 4.643543905 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + a = 4.643543905 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = 4.643543905 + -0.75 a = 4.643543905 + -0.75 Combine like terms: 4.643543905 + -0.75 = 3.893543905 a = 3.893543905 Simplifying a = 3.893543905Subproblem 2
a + 0.75 = -4.643543905 Simplifying a + 0.75 = -4.643543905 Reorder the terms: 0.75 + a = -4.643543905 Solving 0.75 + a = -4.643543905 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + a = -4.643543905 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + a = -4.643543905 + -0.75 a = -4.643543905 + -0.75 Combine like terms: -4.643543905 + -0.75 = -5.393543905 a = -5.393543905 Simplifying a = -5.393543905Solution
The solution to the problem is based on the solutions from the subproblems. a = {3.893543905, -5.393543905}Solution
a = {0, 3.893543905, -5.393543905}
| 21+6x=6x-5 | | 7log(4x)=35 | | 4(9c-1)-18=34c+4 | | 3+2(2n-13)=1 | | (2x+5)=81 | | -1.4x-2=-0.9x+2 | | 2ab+3b=5 | | -3=4a+-1 | | 8x+13=3x+3 | | y-4=5(x-5) | | -3x+5(c-6)=32 | | s(n)=1/4n | | (32)(82)=3x | | -9+11= | | 1.3=2y+8.5 | | 40-40x-piex=0 | | 11+-5= | | (x+2)(2x^2+3x+7)= | | -4v^2+25v+21=0 | | y=.07x+19.75 | | x^2-x+162=0 | | u(n)=9n-n | | 8p-9(p+1)=16 | | (6x-10)^1/3=-3 | | 15=4a+12 | | 7-4y=28 | | S=20+175-25 | | S=20+175-15 | | 4+2n=52+8n | | cx+9=4cx-15 | | 2x+9=4cx-15 | | (-4-1)z+14y= |