If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16a2 + -16a + -4 = 0 Reorder the terms: -4 + -16a + 16a2 = 0 Solving -4 + -16a + 16a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -4a + 4a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -4a + 4a2)' equal to zero and attempt to solve: Simplifying -1 + -4a + 4a2 = 0 Solving -1 + -4a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + -1a + a2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + -1a + 0.25 + a2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + -1a + a2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -1a + a2 = 0 + 0.25 -1a + a2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 -1a + a2 = 0.25 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 = 0.25 + 0.25 Reorder the terms: 0.25 + -1a + a2 = 0.25 + 0.25 Combine like terms: 0.25 + 0.25 = 0.5 0.25 + -1a + a2 = 0.5 Factor a perfect square on the left side: (a + -0.5)(a + -0.5) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (a + -0.5) equal to 0.707106781 and -0.707106781.Subproblem 1
a + -0.5 = 0.707106781 Simplifying a + -0.5 = 0.707106781 Reorder the terms: -0.5 + a = 0.707106781 Solving -0.5 + a = 0.707106781 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 = 0.707106781 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + a = 0.707106781 + 0.5 a = 0.707106781 + 0.5 Combine like terms: 0.707106781 + 0.5 = 1.207106781 a = 1.207106781 Simplifying a = 1.207106781Subproblem 2
a + -0.5 = -0.707106781 Simplifying a + -0.5 = -0.707106781 Reorder the terms: -0.5 + a = -0.707106781 Solving -0.5 + a = -0.707106781 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 = -0.707106781 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + a = -0.707106781 + 0.5 a = -0.707106781 + 0.5 Combine like terms: -0.707106781 + 0.5 = -0.207106781 a = -0.207106781 Simplifying a = -0.207106781Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.207106781, -0.207106781}Solution
a = {1.207106781, -0.207106781}
| -0.9x+1.91=-0.4x+9.41 | | -0.5x+5.38=-0.7x+3.18 | | 2x+3+7x-15=180 | | 2-nx=6 | | 5(4m+1)-2=-13 | | 7-7x-5-8x=5 | | (8x^12)^2/3 | | X-0.10x-0.15(x-0.10)=3 | | 3x+3x=20+40 | | .95=(X-3)/X | | 3.2x+3=192.3x-3 | | f(x)=4x^2-87889 | | 18x-5=12x-17 | | 7b+25=9 | | 10-2=0.01 | | x^4+2x^3+3x^2+2x+1=49 | | 150(11)+80(9)+12z=2466 | | -0.5x-5.38=-0.7x+3.18 | | -0.5x-5.38=-0.7+3.18 | | -7y-1=-6y-7 | | 2(2x-5)-3(5x-4)=10x-8 | | 4(3x+8)=-46+42 | | 5x+9-7x=20 | | 8(2x-3)=12x+16 | | 2/9y-1/5=1/3 | | 0.4x+0.1x-4=-6 | | 8x-4(x+5)= | | k/5-6=-7 | | 14m-7m-1=7m+1 | | 5x-2(2x-7)=2(3x-1)=7/2 | | x/4-7=4 | | y=8x^2+14x+3 |