2a^2+20a=-62

Simple and best practice solution for 2a^2+20a=-62 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2a^2+20a=-62 equation:


Simplifying
2a2 + 20a = -62

Reorder the terms:
20a + 2a2 = -62

Solving
20a + 2a2 = -62

Solving for variable 'a'.

Reorder the terms:
62 + 20a + 2a2 = -62 + 62

Combine like terms: -62 + 62 = 0
62 + 20a + 2a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(31 + 10a + a2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(31 + 10a + a2)' equal to zero and attempt to solve: Simplifying 31 + 10a + a2 = 0 Solving 31 + 10a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + 10a + -31 + a2 = 0 + -31 Reorder the terms: 31 + -31 + 10a + a2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 10a + a2 = 0 + -31 10a + a2 = 0 + -31 Combine like terms: 0 + -31 = -31 10a + a2 = -31 The a term is 10a. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10a + 25 + a2 = -31 + 25 Reorder the terms: 25 + 10a + a2 = -31 + 25 Combine like terms: -31 + 25 = -6 25 + 10a + a2 = -6 Factor a perfect square on the left side: (a + 5)(a + 5) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 13+y=19 | | 5-3i=x | | 4/9x-4=2/3 | | 72-36x=30*6x*24 | | 45x-34y-17x+221y= | | 8(2x+5)-5(3x+7)=12 | | 2x-6=1x-1+7 | | 4a+5-3-4a= | | x^2+6x=84 | | 25+2y= | | 7(x-6)=252 | | 18x+26=-65 | | 5x=15x(4) | | 2c+a-8= | | 5b+4a+2= | | 5b+4+2= | | X-14=4x-2 | | y=1.9(7)x | | 51-x=21 | | -400=z-100 | | 400=z-100 | | -5=y+415 | | 5=y+415 | | -9s+990=-180 | | 60+15x=135 | | -9s+990=180 | | -9s+900=180 | | c-70=-10 | | c-70=10 | | -3.6-(-2.1)= | | -35=t+65 | | -35=t+36 |

Equations solver categories