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

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


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

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

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

Multiply (-1 + 4x) * (5 + 3x)
(-1(5 + 3x) + 4x * (5 + 3x)) = 0
((5 * -1 + 3x * -1) + 4x * (5 + 3x)) = 0
((-5 + -3x) + 4x * (5 + 3x)) = 0
(-5 + -3x + (5 * 4x + 3x * 4x)) = 0
(-5 + -3x + (20x + 12x2)) = 0

Combine like terms: -3x + 20x = 17x
(-5 + 17x + 12x2) = 0

Solving
-5 + 17x + 12x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 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 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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 = {-1.666666667, 0.25}

See similar equations:

| 3w(5w^2+2w-8)= | | -2+15=17x-3-16x | | 23x+1004847x^3= | | 5x(8x+3)= | | -5(3x-4)=80 | | n^2-6n+3=0 | | 27/7-2=-1 | | 3/10t=33 | | -5(5x+4)=5 | | 5+6(9x)6=0 | | 3q^2+q-10=0 | | .5x+11=2.5x+5 | | 1/3*3.14*2^2*11 | | -4(-4-22x)=88 | | 3(5y-9)=6y | | 81t-21=5.13x+9t | | 2x-35=3x+7 | | -7(3+x)=-14 | | 24-2y-3y=4 | | -2(-9-5x)=88 | | x+x+5=3450 | | 1/2x=32 | | 2x+10+7=1 | | -1+7x+4x=-1 | | 4x+5=12x-6 | | x/8-9=-2 | | (y3/8)^2 | | 2(4y-1)=6 | | -113=-7(3n+5)-5n | | (f)=5x+8 | | z/10-9=4 | | 165=65+(10+7)w |

Equations solver categories