(2x-3)(4x+1)=4

Simple and best practice solution for (2x-3)(4x+1)=4 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-3)(4x+1)=4 equation: 


Simplifying
(2x + -3)(4x + 1) = 4

Reorder the terms:
(-3 + 2x)(4x + 1) = 4

Reorder the terms:
(-3 + 2x)(1 + 4x) = 4

Multiply (-3 + 2x) * (1 + 4x)
(-3(1 + 4x) + 2x * (1 + 4x)) = 4
((1 * -3 + 4x * -3) + 2x * (1 + 4x)) = 4
((-3 + -12x) + 2x * (1 + 4x)) = 4
(-3 + -12x + (1 * 2x + 4x * 2x)) = 4
(-3 + -12x + (2x + 8x2)) = 4

Combine like terms: -12x + 2x = -10x
(-3 + -10x + 8x2) = 4

Solving
-3 + -10x + 8x2 = 4

Solving for variable 'x'.

Reorder the terms:
-3 + -4 + -10x + 8x2 = 4 + -4

Combine like terms: -3 + -4 = -7
-7 + -10x + 8x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-7 + -10x + 8x2 = 0

Factor a trinomial.
(-1 + -2x)(7 + -4x) = 0


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
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
Solution
x = {-0.5, 1.75}

See similar equations:

| 3y-17=2y+5 | | -9p^2+7p-2=0 | | B(b+9)=4(5+3b)-10 | | w^2-32=64 | | tan=-1 | | 3(x*x)-5x=0 | | 15x+25x-12x= | | a^2+5a+5=41 | | t/6-6=9 | | (x)=(400+20x)(90-x) | | -2(3-4z)+7z=12z(z+4) | | 3(4x-2)=5(4-2x) | | 5x+10x-4x= | | 4x-7=5x+6 | | 3(x^2-3)=0 | | 4.303x=1.5 | | R(x)=(400+20x)(90-x) | | y=(2/3)2^3/5x | | 2n^2+7n+4=0 | | 5h-2=3h+10 | | x+3=6-4x | | 5(x+2)=4(x-7) | | 100-x=10 | | 2(n+2)=-24-6(n-2) | | 6x^5-14x^3=y | | 6x^4=1x^2 | | 18w+4w= | | F(x)=x^3+px^2+qx | | 4z-8=11z+13 | | 10=100-x | | 4m+n=10 | | 12x=-13+11x |

Equations solver categories