If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 = a + 16 Reorder the terms: 4a2 = 16 + a Solving 4a2 = 16 + a Solving for variable 'a'. Reorder the terms: -16 + -1a + 4a2 = 16 + a + -16 + -1a Reorder the terms: -16 + -1a + 4a2 = 16 + -16 + a + -1a Combine like terms: 16 + -16 = 0 -16 + -1a + 4a2 = 0 + a + -1a -16 + -1a + 4a2 = a + -1a Combine like terms: a + -1a = 0 -16 + -1a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -4 + -0.25a + a2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + -0.25a + 4 + a2 = 0 + 4 Reorder the terms: -4 + 4 + -0.25a + a2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -0.25a + a2 = 0 + 4 -0.25a + a2 = 0 + 4 Combine like terms: 0 + 4 = 4 -0.25a + a2 = 4 The a term is -0.25a. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25a + 0.015625 + a2 = 4 + 0.015625 Reorder the terms: 0.015625 + -0.25a + a2 = 4 + 0.015625 Combine like terms: 4 + 0.015625 = 4.015625 0.015625 + -0.25a + a2 = 4.015625 Factor a perfect square on the left side: (a + -0.125)(a + -0.125) = 4.015625 Calculate the square root of the right side: 2.003902443 Break this problem into two subproblems by setting (a + -0.125) equal to 2.003902443 and -2.003902443.Subproblem 1
a + -0.125 = 2.003902443 Simplifying a + -0.125 = 2.003902443 Reorder the terms: -0.125 + a = 2.003902443 Solving -0.125 + a = 2.003902443 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + a = 2.003902443 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + a = 2.003902443 + 0.125 a = 2.003902443 + 0.125 Combine like terms: 2.003902443 + 0.125 = 2.128902443 a = 2.128902443 Simplifying a = 2.128902443Subproblem 2
a + -0.125 = -2.003902443 Simplifying a + -0.125 = -2.003902443 Reorder the terms: -0.125 + a = -2.003902443 Solving -0.125 + a = -2.003902443 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + a = -2.003902443 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + a = -2.003902443 + 0.125 a = -2.003902443 + 0.125 Combine like terms: -2.003902443 + 0.125 = -1.878902443 a = -1.878902443 Simplifying a = -1.878902443Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.128902443, -1.878902443}
| 2x-9=7x-9 | | w/2.4=5 | | X^4-42x^2+120=0 | | .18a+.1(20-a)=.14(20)+.16a | | 5n+3n-1n+5=26 | | y=1.25(x+7) | | -2(6y-10)=-14y+14 | | w-21/6=95/6 | | x+3(-x+5)=1 | | 47=n+18 | | y-19/8x+176 | | x-8.1=-6.2 | | -7(2y+11)=-13 | | 25x^2+10x+k=0 | | 3p+-25=80 | | 3p-25= | | 4p+7b-3y-4x-5x-4y= | | 8z-2(z+9)=z+10 | | m+34=20 | | -42=-7x+x+5 | | 2085000000+5550000X=3056890000-15000000X | | y=-19/8x+176 | | x^2+x-1024=0 | | 15=x^2+2x | | 15(z-3)=25z | | 5x+110=180 | | 5x+110=360 | | X+3/4=-12/5 | | 3x+5=5(2x+2) | | 3x-12=4x-16 | | S+(-13.5)=-22.3 | | r2/2r3 |