54=2x^2+12x

Simple and best practice solution for 54=2x^2+12x 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 54=2x^2+12x equation:


Simplifying
54 = 2x2 + 12x

Reorder the terms:
54 = 12x + 2x2

Solving
54 = 12x + 2x2

Solving for variable 'x'.

Reorder the terms:
54 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
54 + -12x + -2x2 = 0 + 2x2 + -2x2
54 + -12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
54 + -12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(27 + -6x + -1x2) = 0

Factor a trinomial.
2((3 + -1x)(9 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Solution

x = {3, -9}

See similar equations:

| 5-4x=2-3x | | -8(24)+15=x | | f+11=-9 | | 13=x*1.25 | | 2x+4x-3+10=10x-19 | | X+(-y)=-y+x | | 80=2l+2*14 | | 7=32(5x+8) | | -10.5p=-5-11p | | u=8a-56 | | 7 = 32(5x+8) | | 7e^4x+8=14 | | 6-2n=16 | | 9c-3d=c | | 4b-9b+3=-32 | | ln(x^2)+ln(9)=3 | | 16+5c=-29 | | 7x+6+9x+8=126 | | (9+9)x^2+(-4+8)x-30= | | [-4-3]=1 | | -15=a-40 | | 5x-1=14x-49 | | 2x+3y+5z=1 | | -5+7b+3=33 | | N+13=-4(-5n-8) | | y=4/3-2/3 | | 6x=12.96 | | 2x-3+3x-32=90 | | -8x^2+28xy+60y^2=0 | | 2b-10=3b+21 | | 5x-6=3x+24 | | 8(X+7)-4= |

Equations solver categories