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

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


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

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

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

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

Combine like terms: -10x + 12x = 2x
(-15 + 2x + 8x2) = 0

Solving
-15 + 2x + 8x2 = 0

Solving for variable 'x'.

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


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 '(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
Solution
x = {-1.5, 1.25}

See similar equations:

| 5x+48=9x+3 | | 11x+6=5x+24 | | 9p+4(1-p)=4p+9(1-p) | | 18x-7=8x+93 | | 24x^2-25x=0 | | 9x-6=6x+5 | | 4x-2=11x-65whatisx | | 2p+5(1-p)=5p+2(1-p) | | 11-5x=22x+15 | | 4a+3b=13 | | 12-6r=2r+36 | | 9-8x=45-36x | | X^2+14x+3=0 | | -41=7-6x | | A=7.5t | | 16x+4-12x=2x-4 | | 2x+5=-55-8x | | 261-6x=39x+21 | | 8-7x=76-35x | | 138-6x=3x+21 | | X^2-12x=61 | | 25b^2-16=0 | | -47-2x=13-8x | | -9-6x=9-9x | | 139-5x=5x+9 | | 12c^2+c=6 | | 9(3+x)=4(3+x) | | 64-5x=7x+16 | | 11.5+0.9x=24.1 | | 63-5x=31x+23 | | 4s^2+12s+9=0 | | 5(1+x)=6(2+x) |

Equations solver categories