0=7x^2+3x-54

Simple and best practice solution for 0=7x^2+3x-54 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=7x^2+3x-54 equation: 


Simplifying
0 = 7x2 + 3x + -54

Reorder the terms:
0 = -54 + 3x + 7x2

Solving
0 = -54 + 3x + 7x2

Solving for variable 'x'.

Combine like terms: 0 + 54 = 54
54 + -3x + -7x2 = -54 + 3x + 7x2 + 54 + -3x + -7x2

Reorder the terms:
54 + -3x + -7x2 = -54 + 54 + 3x + -3x + 7x2 + -7x2

Combine like terms: -54 + 54 = 0
54 + -3x + -7x2 = 0 + 3x + -3x + 7x2 + -7x2
54 + -3x + -7x2 = 3x + -3x + 7x2 + -7x2

Combine like terms: 3x + -3x = 0
54 + -3x + -7x2 = 0 + 7x2 + -7x2
54 + -3x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
54 + -3x + -7x2 = 0

Factor a trinomial.
(18 + -7x)(3 + x) = 0


Subproblem 1
Set the factor '(18 + -7x)' equal to zero and attempt to solve:

Simplifying
18 + -7x = 0

Solving
18 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + -7x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = 0 + -18
-7x = 0 + -18

Combine like terms: 0 + -18 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {2.571428571, -3}

See similar equations:

| 38.616x^2-(38.616*0.101+1)x+38.616*0.0001=0 | | 1n=7760 | | 8(x+2)=31+5x | | 14-15t+36=1-20t-1 | | -6t^2+22t+8=0 | | -23+18+(-14)+(-14)= | | 29+10*x=-18*x+91 | | -5(r-3)=-45 | | 7-x=5x-65 | | -6t+22t+8=0 | | 0.40x+0.30(20)=0.20(86) | | 75.00n=24.000 | | 2a-8+-a=-4 | | 4(3k+1)=-36-8k | | -[2z-(9z+9)]=9+(6z+5) | | 600(2)+400= | | -4x+1=2x-31 | | 4+4x=2x+14 | | Y=14.5x+b | | 3m^2-16m-21=0 | | 12t(7-3t)=-8t-30 | | 16-15t+20=16t+88 | | y=78 | | -13*x+20=-11*x+38 | | 3(2n-5)-8=-(4n+3) | | e-0.76=2809 | | 6w-25=1 | | (2x-3)(x+1)= | | -7u--17=-10 | | y^2=78 | | 2p-8=-(p+2) | | 784=0.5(7)h |

Equations solver categories