(4x^2-21)=(3x^2+4x)

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


Simplifying
(4x2 + -21) = (3x2 + 4x)

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

Remove parenthesis around (-21 + 4x2)
-21 + 4x2 = (3x2 + 4x)

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

Remove parenthesis around (4x + 3x2)
-21 + 4x2 = 4x + 3x2

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

Solving for variable 'x'.

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

Combine like terms: 4x2 + -3x2 = 1x2
-21 + -4x + 1x2 = 4x + 3x2 + -4x + -3x2

Reorder the terms:
-21 + -4x + 1x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
-21 + -4x + 1x2 = 0 + 3x2 + -3x2
-21 + -4x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 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:

| -2x(3x-1)=x^2+2x | | -10x+5x-3x=0 | | 6-2x=7x-48 | | (3x-5)-(6x)=x | | 8w+12-6w=4(w+3)-2w | | 14+5(x-8)=-36 | | 10+6x+7x=140 | | -6(x-7)=-12 | | -92=3x+7x+8 | | 12=(x+(x*.055)) | | 5=4-12y | | 5y=4-12y | | -8=x-2x | | 3r-22r=16 | | 12=x-2x | | 7x-9x=24 | | x+13=19+6 | | 2+4=x-13 | | 7/8w=-2/3 | | x-12=-3-15 | | x-20=1-15 | | 144=x+2*x*6 | | 8+2t-6=9t+20-5t | | 6x^5-10x^4/2x^2 | | 9x-7x=-36 | | 78x-7= | | p+38=22 | | ln(x)+8=22 | | 17+5=x+3 | | x+x+27+4x-33=816 | | 2/9x10/12x18/25 | | 3.66=5.5x+3 |

Equations solver categories