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

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


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

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

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

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

Combine like terms: -12x + -10x = -22x
(15 + -22x + 8x2) = 0

Solving
15 + -22x + 8x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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 2
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 = {1.25, 1.5}

See similar equations:

| -4*(-8)= | | 18x+20=4(3x+4)+6x+9 | | X-2=4x+7 | | 4(-2r+4)-6=-6+18 | | -4X(-8)= | | -4p+2P=-p+5 | | -.813+x=-1.096 | | 2n^2-14n=0 | | 4(x-4)=2x+12 | | 5x-x=48 | | 3x+y-z=7 | | -t+7t+3t+300= | | 2(x-3)=7x+8 | | 3b+10b=8b | | -33-39= | | 7+2(x+1)=x+9 | | 4-(-4)= | | 2x-11=-4y | | -9=5+x | | 5z-2z+12= | | 12-16q=20q+120 | | y=-6x^2-6 | | 3+3(-2v+7)=29-5v | | -2m+3x+7m+-9x= | | 4b+8/2=10 | | 4b+8*2=10 | | 28+(-52)= | | -19=7n-5 | | 4x^2-12x=9 | | (4b+8)*2=10 | | 4(5x-10)=-120 | | -2z+-3z= |

Equations solver categories