If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6a2 + 12a = 3 Reorder the terms: 12a + 6a2 = 3 Solving 12a + 6a2 = 3 Solving for variable 'a'. Reorder the terms: -3 + 12a + 6a2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 12a + 6a2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 4a + 2a2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 4a + 2a2)' equal to zero and attempt to solve: Simplifying -1 + 4a + 2a2 = 0 Solving -1 + 4a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + 2a + a2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 2a + 0.5 + a2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 2a + a2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2a + a2 = 0 + 0.5 2a + a2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 2a + a2 = 0.5 The a term is 2a. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2a + 1 + a2 = 0.5 + 1 Reorder the terms: 1 + 2a + a2 = 0.5 + 1 Combine like terms: 0.5 + 1 = 1.5 1 + 2a + a2 = 1.5 Factor a perfect square on the left side: (a + 1)(a + 1) = 1.5 Calculate the square root of the right side: 1.224744871 Break this problem into two subproblems by setting (a + 1) equal to 1.224744871 and -1.224744871.Subproblem 1
a + 1 = 1.224744871 Simplifying a + 1 = 1.224744871 Reorder the terms: 1 + a = 1.224744871 Solving 1 + a = 1.224744871 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 1.224744871 + -1 Combine like terms: 1 + -1 = 0 0 + a = 1.224744871 + -1 a = 1.224744871 + -1 Combine like terms: 1.224744871 + -1 = 0.224744871 a = 0.224744871 Simplifying a = 0.224744871Subproblem 2
a + 1 = -1.224744871 Simplifying a + 1 = -1.224744871 Reorder the terms: 1 + a = -1.224744871 Solving 1 + a = -1.224744871 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = -1.224744871 + -1 Combine like terms: 1 + -1 = 0 0 + a = -1.224744871 + -1 a = -1.224744871 + -1 Combine like terms: -1.224744871 + -1 = -2.224744871 a = -2.224744871 Simplifying a = -2.224744871Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.224744871, -2.224744871}Solution
a = {0.224744871, -2.224744871}
| 2(3x+6)=19 | | 4/7=x/87.15 | | 6x^2+9y^2=90 | | 0.03(7t+6)=0.21(t-4)+1.02 | | f(3)=2.9x+4 | | 4x^2/4=400/4 | | 31y=-1054+62x | | 16r^2=8 | | (X)(X)-2X-1=O | | (4/9)-^1/2 | | 5(3m+2)=20 | | -36x^2-78x-42=0 | | 2170/x2 | | -6x-7(x-26)=247 | | 3/4x=4/8 | | x*x=2170 | | 7f=1.4 | | 6(p+.4)=5(p-1.2) | | 225x^2-120x=-16 | | 4x/5-2x/3= | | x*x-8=2170 | | 16x^2+104x+56=0 | | M-7=32 | | 85=5u-10 | | c+15=11 | | 70=7x-4(5x+2) | | 3+7x-x=-3 | | 85=5-10 | | 7xsquared-14x= | | 2y+14=34 | | -x=11/2 | | 20-5n=29+2n |