2x^2+11x+21=x^2+14x+49

Simple and best practice solution for 2x^2+11x+21=x^2+14x+49 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 2x^2+11x+21=x^2+14x+49 equation: 


Simplifying
2x2 + 11x + 21 = x2 + 14x + 49

Reorder the terms:
21 + 11x + 2x2 = x2 + 14x + 49

Reorder the terms:
21 + 11x + 2x2 = 49 + 14x + x2

Solving
21 + 11x + 2x2 = 49 + 14x + x2

Solving for variable 'x'.

Reorder the terms:
21 + -49 + 11x + -14x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 21 + -49 = -28
-28 + 11x + -14x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 11x + -14x = -3x
-28 + -3x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-28 + -3x + 1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Reorder the terms:
-28 + -3x + 1x2 = 49 + -49 + 14x + -14x + x2 + -1x2

Combine like terms: 49 + -49 = 0
-28 + -3x + 1x2 = 0 + 14x + -14x + x2 + -1x2
-28 + -3x + 1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
-28 + -3x + 1x2 = 0 + x2 + -1x2
-28 + -3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + -3x + 1x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-4, 7}

See similar equations:

| 7x+11=15+3x | | 144x-80=8x+40 | | 9n-12=3n | | 175.00+2.00(50)= | | (9n-12)=(3n) | | 3x^2+25x=28 | | ((6099000-1000000)/6099000)*100 | | -4r+21=-7(5-4r)-8 | | 25+249+100=350 | | 0.48=log(x) | | 10x+20y=230 | | (6x+2)-16=3x | | 25+350+249=100 | | 5-2/x=8 | | 3xsquare+x=14 | | 0.1x=1.5 | | 2x+13=-9x-20 | | 9(x+13)=9x+117 | | 15+7x=8(x-2) | | 5x-3(y)=22 | | -2q+4q=0 | | -1/7x=-8 | | 5(2)-3(-2-2)=22 | | 124/12 | | 10+2x=8(x-2) | | 0.4(x-3)=0.6x+1.8 | | 4(x+2)=4(x+15) | | 7/2x=40 | | 8y-18=3(y+3) | | x=17-15.5x | | 6-3x=10x-3 | | 1/10:1/8:1/6 |

Equations solver categories