(2x+1)(4x-1)=14

Simple and best practice solution for (2x+1)(4x-1)=14 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+1)(4x-1)=14 equation: 


Simplifying
(2x + 1)(4x + -1) = 14

Reorder the terms:
(1 + 2x)(4x + -1) = 14

Reorder the terms:
(1 + 2x)(-1 + 4x) = 14

Multiply (1 + 2x) * (-1 + 4x)
(1(-1 + 4x) + 2x * (-1 + 4x)) = 14
((-1 * 1 + 4x * 1) + 2x * (-1 + 4x)) = 14
((-1 + 4x) + 2x * (-1 + 4x)) = 14
(-1 + 4x + (-1 * 2x + 4x * 2x)) = 14
(-1 + 4x + (-2x + 8x2)) = 14

Combine like terms: 4x + -2x = 2x
(-1 + 2x + 8x2) = 14

Solving
-1 + 2x + 8x2 = 14

Solving for variable 'x'.

Reorder the terms:
-1 + -14 + 2x + 8x2 = 14 + -14

Combine like terms: -1 + -14 = -15
-15 + 2x + 8x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-15 + 2x + 8x2 = 0

Factor a trinomial.
(-3 + -2x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 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 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-1.5, 1.25}

See similar equations:

| -5x^2+2x+6= | | 9x^2+27x-36= | | y=log(8.5) | | M+2n-4m-6m+n= | | (6-3i)(2-i)= | | -3x^2+8x+7= | | p-15=14-6p | | Q=2RT | | 7p^2=18p+8 | | 3k=84+9k | | 9(-3m+6)= | | w^2-3w-64=0 | | 16x+3x-64x= | | 2x^3-x^2-8x-5=0 | | -5x+18=3x-2 | | Y-xn=6 | | 4x^2-35x-99=0 | | 63=4t-11t | | -6x^2+6x+9= | | e^5r=1.3 | | 2n^2+3=-5n | | 3ex=11.76 | | 3x^2-24x-30=0 | | 3x^2-24x-30= | | 0.30+0.32x= | | ex=5.9 | | y^2+15y+57=1 | | X*0.32= | | 3n^2-6=17n | | X^4+5x^3=0 | | 8a=(4a-9) | | X^4+5x^3= |

Equations solver categories