x^2+4x+9=3x^2-21

Simple and best practice solution for x^2+4x+9=3x^2-21 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 x^2+4x+9=3x^2-21 equation: 


Simplifying
x2 + 4x + 9 = 3x2 + -21

Reorder the terms:
9 + 4x + x2 = 3x2 + -21

Reorder the terms:
9 + 4x + x2 = -21 + 3x2

Solving
9 + 4x + x2 = -21 + 3x2

Solving for variable 'x'.

Reorder the terms:
9 + 21 + 4x + x2 + -3x2 = -21 + 3x2 + 21 + -3x2

Combine like terms: 9 + 21 = 30
30 + 4x + x2 + -3x2 = -21 + 3x2 + 21 + -3x2

Combine like terms: x2 + -3x2 = -2x2
30 + 4x + -2x2 = -21 + 3x2 + 21 + -3x2

Reorder the terms:
30 + 4x + -2x2 = -21 + 21 + 3x2 + -3x2

Combine like terms: -21 + 21 = 0
30 + 4x + -2x2 = 0 + 3x2 + -3x2
30 + 4x + -2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
30 + 4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 2x + -1x2) = 0

Factor a trinomial.
2((5 + -1x)(3 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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 = {5, -3}

See similar equations:

| 16=6+8m | | 10=-2/3(4x+5) | | 19a+3(a-6)=66 | | 5x+9=38 | | 9x^2-3x=1 | | 4/5x-2=7 | | 6=6+8m | | 4/5x-2+7 | | y-49=-14 | | Y+30=2Y | | 7x+8=55 | | (13v+7)(6v-5)=0 | | n8-3=-11 | | U/5-7=(-6) | | 5y-6+y+37=7y+40-4y | | 3(4x-1)=2(x+5) | | 7n-28= | | v-6+2=-1 | | 5+2/3d-5/6d-8 | | (7+v)(4v-5)=0 | | Ex-2y=3zforx | | 1-9/x-36/x^2=0 | | X/y=3 | | P^2+bp+16=0 | | 36=-12y | | v^2-15v=-50 | | 900+200=y | | 7+-2x=-51 | | -3x^2+30x+72=0 | | 2(3t+2)+9=8(t+2)+9t | | .8p-4=.6p | | -4=k/-5 |

Equations solver categories