If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4a3 + 6a2 + 8a = 0 Reorder the terms: 8a + 6a2 + -4a3 = 0 Solving 8a + 6a2 + -4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(4 + 3a + -2a2) = 0 Ignore the factor 2.Subproblem 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 '(4 + 3a + -2a2)' equal to zero and attempt to solve: Simplifying 4 + 3a + -2a2 = 0 Solving 4 + 3a + -2a2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -2 + -1.5a + a2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -1.5a + 2 + a2 = 0 + 2 Reorder the terms: -2 + 2 + -1.5a + a2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5a + a2 = 0 + 2 -1.5a + a2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1.5a + a2 = 2 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 = 2 + 0.5625 Reorder the terms: 0.5625 + -1.5a + a2 = 2 + 0.5625 Combine like terms: 2 + 0.5625 = 2.5625 0.5625 + -1.5a + a2 = 2.5625 Factor a perfect square on the left side: (a + -0.75)(a + -0.75) = 2.5625 Calculate the square root of the right side: 1.600781059 Break this problem into two subproblems by setting (a + -0.75) equal to 1.600781059 and -1.600781059.Subproblem 1
a + -0.75 = 1.600781059 Simplifying a + -0.75 = 1.600781059 Reorder the terms: -0.75 + a = 1.600781059 Solving -0.75 + a = 1.600781059 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 = 1.600781059 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = 1.600781059 + 0.75 a = 1.600781059 + 0.75 Combine like terms: 1.600781059 + 0.75 = 2.350781059 a = 2.350781059 Simplifying a = 2.350781059Subproblem 2
a + -0.75 = -1.600781059 Simplifying a + -0.75 = -1.600781059 Reorder the terms: -0.75 + a = -1.600781059 Solving -0.75 + a = -1.600781059 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 = -1.600781059 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = -1.600781059 + 0.75 a = -1.600781059 + 0.75 Combine like terms: -1.600781059 + 0.75 = -0.850781059 a = -0.850781059 Simplifying a = -0.850781059Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.350781059, -0.850781059}Solution
a = {0, 2.350781059, -0.850781059}
| 8r-3+3v=8 | | 3z+-2z=14 | | -10x(6yx)+y-2xy+7x= | | X^2+3.25X-19.25=0 | | 14+3n=8n-(3n-4) | | 2x-3(4x+1)=-3x-9 | | V^2-2V-40=0 | | 5p+6=2p+5 | | X^2+3.25-19.25=0 | | 3x-5(3+2x)=6x-2 | | x/1/4= | | -174+9x=-x+76 | | -60=-3(5k-7)-(k+1) | | 2(x-2)=5x+1-3x | | 2x+15+2x+15=180 | | x-0.25=453.75 | | a+(b+4)=a+(4+b) | | 5(3n+1)=12+8n | | 14+3n=8n-3n+4 | | 3.8n+13=1.4n+5 | | 2y+2=8y-(6y-10) | | 27.50=23.25+17 | | -59+4x=7x+22 | | -4-6x=24x+32 | | 4x+1=9x-1-5x | | 8n+14=2(4n)+4n | | 8x-32=63+3x | | .22+50=83x | | 3u-11=13 | | 17h+3h-10h-2h+2=10 | | 175m^2=25*h | | -3(j+3)+9j=-5 |