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

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


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

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

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

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

Combine like terms: -8x + -15x = -23x
(12 + -23x + 10x2) = 0

Solving
12 + -23x + 10x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

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 = {0.8, 1.5}

See similar equations:

| 23x+3=2(13x-3) | | 1/5(x)^2=x-4/5 | | 21x+1=21x+1 | | 10r-8=-118 | | (5x^3-14x^2)-(7x^3+12x^2)+(-8x^3-2x^2)= | | (y^8/3y^-2)^2 | | 8(2t+4)=4(11t+11) | | 8w-4x=2w+3x | | 100+6x-40-2x=x+30 | | 20/2(5•5) | | x+5+x=x+10 | | (3+4i)+(7+11i)= | | 24x+32=5x-14 | | -13-(-12)= | | 4b(b+0)=0 | | 3p=p+0.5p+10 | | u-7/2=-2/3u-3/2 | | u-7/2=-2/3u-3/2= | | 8t+4=8+6t-2 | | 9-6x=75 | | 16-1/2x=3/4x+1 | | 20a+14a+11a=-47 | | 4/3/18 | | 20a= | | g^2-7g+2=0 | | -4=-1+y | | An=0.2n+2.6findS(61) | | -5(7+8x)=47 | | An=0.2n+2.6 | | 7x-19=5x+2 | | 63a^2-21a^4= | | 8/(t-5)=2 |

Equations solver categories