If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + a + -21 = 0 Reorder the terms: -21 + a + a2 = 0 Solving -21 + a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '21' to each side of the equation. -21 + a + 21 + a2 = 0 + 21 Reorder the terms: -21 + 21 + a + a2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + a + a2 = 0 + 21 a + a2 = 0 + 21 Combine like terms: 0 + 21 = 21 a + a2 = 21 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 = 21 + 0.25 Reorder the terms: 0.25 + a + a2 = 21 + 0.25 Combine like terms: 21 + 0.25 = 21.25 0.25 + a + a2 = 21.25 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = 21.25 Calculate the square root of the right side: 4.609772229 Break this problem into two subproblems by setting (a + 0.5) equal to 4.609772229 and -4.609772229.Subproblem 1
a + 0.5 = 4.609772229 Simplifying a + 0.5 = 4.609772229 Reorder the terms: 0.5 + a = 4.609772229 Solving 0.5 + a = 4.609772229 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 = 4.609772229 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = 4.609772229 + -0.5 a = 4.609772229 + -0.5 Combine like terms: 4.609772229 + -0.5 = 4.109772229 a = 4.109772229 Simplifying a = 4.109772229Subproblem 2
a + 0.5 = -4.609772229 Simplifying a + 0.5 = -4.609772229 Reorder the terms: 0.5 + a = -4.609772229 Solving 0.5 + a = -4.609772229 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 = -4.609772229 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = -4.609772229 + -0.5 a = -4.609772229 + -0.5 Combine like terms: -4.609772229 + -0.5 = -5.109772229 a = -5.109772229 Simplifying a = -5.109772229Solution
The solution to the problem is based on the solutions from the subproblems. a = {4.109772229, -5.109772229}
| 11+9=-5(3x-4) | | (2)(-5/2) | | 4m-5=4m | | Log(5)(3x^2-2x-1)=3 | | (5x+3)=22 | | 8p+7=9p | | 3+4x=10-2-1x | | 6y-13+y=21y+1 | | ln(6*x-5)=ln*30-ln(x-6) | | -39-4x=-5-5(1+5x) | | 6=k/8 | | 53-6y=9y | | 4z+2+3y-11=90 | | 9b=-4+10b | | 3u+8=35 | | 7g=5+2g | | 43-w=205 | | -24=3(1x-5x)+4 | | 4.3timesH=81.7 | | 12s+36=48 | | 7x+9y=-7 | | x+81=110 | | 3=11w-8w | | 0.5x-2.5=-3.7 | | 75=64 | | 2u^2-5=9u | | f(100)=-0.002(100)+0.66(100) | | 194=58-x | | 3/4(x)-5=10 | | 2(u-8)-7=-3(-5u+7)-u | | 10b^2-9b-7=0 | | -u+157=274 |