(2x-3)(x)(2x)(4x+5)=

Simple and best practice solution for (2x-3)(x)(2x)(4x+5)= 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)(x)(2x)(4x+5)= equation: 


Simplifying
(2x + -3)(x)(2x)(4x + 5) = 0

Reorder the terms:
(-3 + 2x)(x)(2x)(4x + 5) = 0

Remove parenthesis around (2x)
(-3 + 2x) * x * 2x(4x + 5) = 0

Reorder the terms:
(-3 + 2x) * x * 2x(5 + 4x) = 0

Reorder the terms for easier multiplication:
2x * x(-3 + 2x)(5 + 4x) = 0

Multiply x * x
2x2(-3 + 2x)(5 + 4x) = 0

Multiply (-3 + 2x) * (5 + 4x)
2x2(-3(5 + 4x) + 2x * (5 + 4x)) = 0
2x2((5 * -3 + 4x * -3) + 2x * (5 + 4x)) = 0
2x2((-15 + -12x) + 2x * (5 + 4x)) = 0
2x2(-15 + -12x + (5 * 2x + 4x * 2x)) = 0
2x2(-15 + -12x + (10x + 8x2)) = 0

Combine like terms: -12x + 10x = -2x
2x2(-15 + -2x + 8x2) = 0
(-15 * 2x2 + -2x * 2x2 + 8x2 * 2x2) = 0
(-30x2 + -4x3 + 16x4) = 0

Solving
-30x2 + -4x3 + 16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-15 + -2x + 8x2) = 0

Factor a trinomial.
2x2((-5 + -4x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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

Subproblem 3
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
Solution
x = {0, -1.25, 1.5}

See similar equations:

| n+n=50 | | 5x-5y=180 | | -4y1/2 | | 3+4g=4g+3 | | 28x-12+14-2=100 | | x^2-55=-6x | | 2x-4y-8=30 | | log*x^3=1.5 | | 18+x=27 | | (7-3i)(8-6i)= | | -5/7-11/7x=-y | | 7(x+13)=-28 | | 4=u-3 | | 0.5*-4=-8 | | 2y=7+5x | | 5b/4a^2*8a^4b/b^5 | | x^3-6x^2+14x-6=0 | | 14n+2-7n=35 | | 20+21x=56 | | (9x^4-15x^3+6x^2)3x^2= | | -4x^2+8=8 | | 3/6=12x | | 5a+4(3a-8)=4+13q | | x/4+x-0.2=13.8 | | 21+104+z=180 | | -16y=22+6y | | 4a^2-17a=-4 | | (3w+1)(8+w)=0 | | 45y-4=-8x | | 8x-4=-45y | | (X-7)(x-1)=18 | | 90=4y+5+4y+8 |

Equations solver categories