If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5a2 + 3a + -8 + -3a2 + -1a = 0 Reorder the terms: -8 + 3a + -1a + 5a2 + -3a2 = 0 Combine like terms: 3a + -1a = 2a -8 + 2a + 5a2 + -3a2 = 0 Combine like terms: 5a2 + -3a2 = 2a2 -8 + 2a + 2a2 = 0 Solving -8 + 2a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + a + a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + a + a2)' equal to zero and attempt to solve: Simplifying -4 + a + a2 = 0 Solving -4 + a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '4' to each side of the equation. -4 + a + 4 + a2 = 0 + 4 Reorder the terms: -4 + 4 + a + a2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a + a2 = 0 + 4 a + a2 = 0 + 4 Combine like terms: 0 + 4 = 4 a + a2 = 4 The a term is a. 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. a + 0.25 + a2 = 4 + 0.25 Reorder the terms: 0.25 + a + a2 = 4 + 0.25 Combine like terms: 4 + 0.25 = 4.25 0.25 + a + a2 = 4.25 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = 4.25 Calculate the square root of the right side: 2.061552813 Break this problem into two subproblems by setting (a + 0.5) equal to 2.061552813 and -2.061552813.Subproblem 1
a + 0.5 = 2.061552813 Simplifying a + 0.5 = 2.061552813 Reorder the terms: 0.5 + a = 2.061552813 Solving 0.5 + a = 2.061552813 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 = 2.061552813 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = 2.061552813 + -0.5 a = 2.061552813 + -0.5 Combine like terms: 2.061552813 + -0.5 = 1.561552813 a = 1.561552813 Simplifying a = 1.561552813Subproblem 2
a + 0.5 = -2.061552813 Simplifying a + 0.5 = -2.061552813 Reorder the terms: 0.5 + a = -2.061552813 Solving 0.5 + a = -2.061552813 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 = -2.061552813 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = -2.061552813 + -0.5 a = -2.061552813 + -0.5 Combine like terms: -2.061552813 + -0.5 = -2.561552813 a = -2.561552813 Simplifying a = -2.561552813Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.561552813, -2.561552813}Solution
a = {1.561552813, -2.561552813}
| -3x-10=-2x-16 | | -51=3n | | 47x^2+15x+30=0 | | 0.69+0.25t=2.21t-0.78 | | 126=6x+7(2x-2) | | -77=7v | | 33x+40=130-12x | | 5(y-3)-8=12 | | -77=7 | | x=6(52+40) | | a+7+6b+9a-3b= | | -77=-7 | | 6x+5(2x+12)=172 | | -6+2b=7b-2(1+2b) | | 1.5+e=5.25 | | x=6(p+40) | | 12=10/x | | 2x+3(2x+13)=135 | | 2119=6(p+40) | | a+7+6b+9-4a^2-5a= | | 5.6(10x)=4 | | F=LT/D;L | | -6(3x-7)+3=-18x+45 | | y-11=(3x+4) | | y+11=y | | 64n-36=0 | | (x-2)(x-2)(x-4-2i)(x-4+2i)=0 | | 2x+5(x+8)=108 | | d=70*3.5 | | 372=13k-18 | | 4/5/7 | | 5x+3(6x+8)=185 |