6x^2=4x+5x^2+21

Simple and best practice solution for 6x^2=4x+5x^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 6x^2=4x+5x^2+21 equation: 


Simplifying
6x2 = 4x + 5x2 + 21

Reorder the terms:
6x2 = 21 + 4x + 5x2

Solving
6x2 = 21 + 4x + 5x2

Solving for variable 'x'.

Reorder the terms:
-21 + -4x + 6x2 + -5x2 = 21 + 4x + 5x2 + -21 + -4x + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
-21 + -4x + 1x2 = 21 + 4x + 5x2 + -21 + -4x + -5x2

Reorder the terms:
-21 + -4x + 1x2 = 21 + -21 + 4x + -4x + 5x2 + -5x2

Combine like terms: 21 + -21 = 0
-21 + -4x + 1x2 = 0 + 4x + -4x + 5x2 + -5x2
-21 + -4x + 1x2 = 4x + -4x + 5x2 + -5x2

Combine like terms: 4x + -4x = 0
-21 + -4x + 1x2 = 0 + 5x2 + -5x2
-21 + -4x + 1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-21 + -4x + 1x2 = 0

Factor a trinomial.
(-3 + -1x)(7 + -1x) = 0


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 '(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 = {-3, 7}

See similar equations:

| 4.71=1.085x+11.82(1-x) | | 10x^2=-10 | | 8-(3n-5)=5-4n | | 3x-3y=-5x-5 | | 7+-11+6+-8= | | 5x+9y+14=180 | | a^2=-49-14a | | 30y+4=10 | | 2.5/12=45.5/x | | 140=3x+1+2x-1 | | 2ln-2=0 | | 7x-14x=0 | | 2x^2+13=6x+49 | | (3q+2)2= | | Y=-3x^2+10x-9 | | 8s^2-22s+9=0 | | m-2x=p | | 4t+4-11+t= | | 130=0.81t^2 | | 7x+8y=20 | | a^2-7a+9=-3 | | 9u-9d=36 | | 42/65=y/120 | | Ab=19 | | m^2-56=-7 | | 14b+7a=42 | | 5m+3=38 | | v^2+4v-18=-6 | | 45=3b*68 | | X^2-14+10=0 | | k^2+3k+5=3 | | 2-34m=2 |

Equations solver categories