4x^2-21x+38=6x+3

Simple and best practice solution for 4x^2-21x+38=6x+3 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^2-21x+38=6x+3 equation: 


Simplifying
4x2 + -21x + 38 = 6x + 3

Reorder the terms:
38 + -21x + 4x2 = 6x + 3

Reorder the terms:
38 + -21x + 4x2 = 3 + 6x

Solving
38 + -21x + 4x2 = 3 + 6x

Solving for variable 'x'.

Reorder the terms:
38 + -3 + -21x + -6x + 4x2 = 3 + 6x + -3 + -6x

Combine like terms: 38 + -3 = 35
35 + -21x + -6x + 4x2 = 3 + 6x + -3 + -6x

Combine like terms: -21x + -6x = -27x
35 + -27x + 4x2 = 3 + 6x + -3 + -6x

Reorder the terms:
35 + -27x + 4x2 = 3 + -3 + 6x + -6x

Combine like terms: 3 + -3 = 0
35 + -27x + 4x2 = 0 + 6x + -6x
35 + -27x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
35 + -27x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(5 + -1x) = 0


Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

Subproblem 2
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
Solution
x = {1.75, 5}

See similar equations:

| 5X/X-7 | | x^2-7x-17=2x+5 | | 2p+3q+4pq=0 | | x^2-10x+9=-3x-3 | | 2-y=2y | | 16x^2+102x-70=0 | | 2qx^2+pqx-8x-4p=0 | | 10x^2-33x-54=0 | | 5x^2+Kx=-2 | | 4x+4x=3x-1 | | 5x+7y=2y+75 | | 2/(3X^(1/3)) | | -3x^2+25x-8=0 | | x-180=3000 | | -2.5x^2+25x=0 | | p+0.04p=35.36 | | a-5/10=5 | | 3-0.3(x+3)=4.2-0.6x | | h=-16t^2-24t+220 | | -n-10/9=6 | | log(x)=11.87 | | 0.2y+3=0.35y+9 | | h=-16t-24t+220 | | -5n-4(-7-4n)=36+34 | | 3x+-3=2(x+4) | | 2.3b-2.1b=1.4 | | 2.3p-2.1b=1.4 | | s/4(3.14)r*r | | 6(u-7)=2u-46 | | 6*6*6*6*6=14 | | p-0.02p=215.6 | | y+4y+4y=0 |

Equations solver categories