3x^2+28x+49=0

Simple and best practice solution for 3x^2+28x+49=0 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 3x^2+28x+49=0 equation:


Simplifying
3x2 + 28x + 49 = 0

Reorder the terms:
49 + 28x + 3x2 = 0

Solving
49 + 28x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
7 + x = 0

Solving
7 + x = 0

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

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

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

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

Simplifying
x = -7

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

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

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

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {-7, -2.333333333}

See similar equations:

| 49s^2-4=0 | | log(4-x)=log(x+8)+log(2x+13) | | 0.5y+6=-8 | | 0.4x+0.3x=21 | | 3x-4(1-x)=10 | | (2x+7)(7x-2)=0 | | 30=1.8c+32 | | x^2+3x^2-2x-6=0 | | ln(1-x)+ln(7-x)=16 | | 3(x+7)=31-2x | | 11y-4x-7x= | | 150=16t^2 | | 32+9= | | 6(w+2)-8w=6 | | X^2-25-16=0 | | 7x+4=5x-26 | | 3xy+2xy-2xy= | | (-6x^3+4x^2+8x)(-3x-5)= | | 18x-2=11x-9 | | 30000x=-2750000+45000x | | 30x=-275000+45000x | | 64p^3q-49pq^3= | | -275000+45000x= | | v^2=35-2v | | 6x-9=-3x+27 | | (-17)(-4)+6= | | 5x^2-23x-50=0 | | [-3+(-8)]+[8+(-7)]= | | -13m+7m+13m= | | 5y-22=-26+9y | | a-6=-20 | | 5y-22=26+9y |

Equations solver categories