5(2x+3)(4x-1)=0

Simple and best practice solution for 5(2x+3)(4x-1)=0 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 5(2x+3)(4x-1)=0 equation: 


Simplifying
5(2x + 3)(4x + -1) = 0

Reorder the terms:
5(3 + 2x)(4x + -1) = 0

Reorder the terms:
5(3 + 2x)(-1 + 4x) = 0

Multiply (3 + 2x) * (-1 + 4x)
5(3(-1 + 4x) + 2x * (-1 + 4x)) = 0
5((-1 * 3 + 4x * 3) + 2x * (-1 + 4x)) = 0
5((-3 + 12x) + 2x * (-1 + 4x)) = 0
5(-3 + 12x + (-1 * 2x + 4x * 2x)) = 0
5(-3 + 12x + (-2x + 8x2)) = 0

Combine like terms: 12x + -2x = 10x
5(-3 + 10x + 8x2) = 0
(-3 * 5 + 10x * 5 + 8x2 * 5) = 0
(-15 + 50x + 40x2) = 0

Solving
-15 + 50x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + 10x + 8x2) = 0

Factor a trinomial.
5((-3 + -2x)(1 + -4x)) = 0

Ignore the factor 5.

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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-1.5, 0.25}

See similar equations:

| 7x+15=6x+20 | | 0.25(4x-2)=x-.25 | | 4x+8y-2(7x-4y)= | | 63+8(6x-1)=7(6x+1) | | -8(b-862)=-560 | | 16=8c | | 2.50(m+15.00)=662.5 | | 2.5r=95 | | 6(3x-6)=10x | | a+3ab+6+7a-2ab-1=0 | | 75+5x=10x+100 | | 9b-7b+6=-4b+78-3b | | 11x-160=56-7x | | 10+58=6x+2 | | 2x^4+3x-50=0 | | 5a+4b-5(7a-9b)= | | 26w+20=956 | | X-2x=125 | | (1+y)x^2-3yx+(1-y)=0 | | 2.50(m+15.00)=412.5 | | 84=2x-4+2x+4 | | 75=4529 | | -1-10r^2=-881 | | 3.4=y+2.1 | | -3x^2+8x-6=0 | | -8p-8=-14-7p | | -2x+(-21)=23 | | -1-10r^2=881 | | 84=4x^2-8+8-16 | | 929=97+13r | | 31/2(6x-21/2)+51/3=-62/3(-3x+16/5)+122/3 | | -70=-2(n+5)+7(4-6n) |

Equations solver categories