0=2x^2+9x+30

Simple and best practice solution for 0=2x^2+9x+30 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 0=2x^2+9x+30 equation:


Simplifying
0 = 2x2 + 9x + 30

Reorder the terms:
0 = 30 + 9x + 2x2

Solving
0 = 30 + 9x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + -9x + -2x2 = 30 + 9x + 2x2 + -30 + -9x + -2x2

Reorder the terms:
-30 + -9x + -2x2 = 30 + -30 + 9x + -9x + 2x2 + -2x2

Combine like terms: 30 + -30 = 0
-30 + -9x + -2x2 = 0 + 9x + -9x + 2x2 + -2x2
-30 + -9x + -2x2 = 9x + -9x + 2x2 + -2x2

Combine like terms: 9x + -9x = 0
-30 + -9x + -2x2 = 0 + 2x2 + -2x2
-30 + -9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-30 + -9x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(30 + 9x + 2x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(30 + 9x + 2x2)' equal to zero and attempt to solve: Simplifying 30 + 9x + 2x2 = 0 Solving 30 + 9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15 + 4.5x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 4.5x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + 4.5x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4.5x + x2 = 0 + -15 4.5x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 4.5x + x2 = -15 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = -15 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = -15 + 5.0625 Combine like terms: -15 + 5.0625 = -9.9375 5.0625 + 4.5x + x2 = -9.9375 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = -9.9375 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:

| f(4)=8x^2+6x | | 27x=12x | | 8(7+5n)= | | 3(b+4)=18+b | | 2x^2-3x-5x=0 | | -3(4m-1)= | | 2z^2-z+2=0 | | 5*9x=12.48 | | 4x+12+6x-12=180 | | 3x-4=10x+6 | | 4*ex=12.76 | | -7(3+2n)= | | ex=7.9 | | (8(0)-16)=(10x-24) | | 1.5x+y=110 | | -3(3x-2)-1(2x+3)= | | (8y-16)=(10(0)-24) | | Y=0.15x+25 | | 1+2(3a+2)=5a-(-11) | | 20-5=11-8x | | 1+2(3a+32)=5a-(-11) | | 1+2(3a+32)=-(-11) | | -5(6n-1)=125 | | 63=3(3n+6) | | -4*.05-6+.05=-2*.05+.05-10 | | c=9m | | v=(160-4w)w^2 | | 3.75=.50+x | | 3*.05-1-4*.05=-2*.05+7*.05-4 | | 25+-55+(85+65)=x | | 3x+x+6y+4x-y= | | 2x^2+14x-6=0 |

Equations solver categories