(2x-7)(4-5x)=0

Simple and best practice solution for (2x-7)(4-5x)=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-7)(4-5x)=0 equation: 


Simplifying
(2x + -7)(4 + -5x) = 0

Reorder the terms:
(-7 + 2x)(4 + -5x) = 0

Multiply (-7 + 2x) * (4 + -5x)
(-7(4 + -5x) + 2x * (4 + -5x)) = 0
((4 * -7 + -5x * -7) + 2x * (4 + -5x)) = 0
((-28 + 35x) + 2x * (4 + -5x)) = 0
(-28 + 35x + (4 * 2x + -5x * 2x)) = 0
(-28 + 35x + (8x + -10x2)) = 0

Combine like terms: 35x + 8x = 43x
(-28 + 43x + -10x2) = 0

Solving
-28 + 43x + -10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 2x)(4 + -5x) = 0


Subproblem 1
Set the factor '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

Subproblem 2
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
Solution
x = {3.5, 0.8}

See similar equations:

| 6-(5x-2)=8x | | 3u-12.75=-3.41 | | y=1n(x^2+2x) | | 3+4x-8=3x-10+x+2 | | 8(9k+4)=31+7k | | 4x-9=2(2x-9) | | -2.7x=810 | | A-(-8)=6 | | G+(-15)=-36 | | y=0.5x-12 | | 53b-(38b-64)= | | cost(secx+2)=0 | | f=1/4(25) | | -8x-46=22-4x | | 5r(2a)=2x^2-5x+1 | | -126+x=-10+105 | | 3/4=12/? | | -x-73=5x+53 | | -8x-138=6x+72 | | (3x-70)+60+x=180 | | 2x+25=9x-17 | | (3x+1)-36=0 | | 3x-9+3x-9+5x-19=180 | | 8x+18+5x+6=180 | | 60-15= | | 2x=188+6 | | 6y+2y+10+2y+10=180 | | 2x=188-6 | | b/2-3.6 | | 3x+9+4x+24=180 | | a/3-4.2 | | 3x+42y+7=22 |

Equations solver categories