(3x-5)(2x-7)=0

Simple and best practice solution for (3x-5)(2x-7)=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 (3x-5)(2x-7)=0 equation: 


Simplifying
(3x + -5)(2x + -7) = 0

Reorder the terms:
(-5 + 3x)(2x + -7) = 0

Reorder the terms:
(-5 + 3x)(-7 + 2x) = 0

Multiply (-5 + 3x) * (-7 + 2x)
(-5(-7 + 2x) + 3x * (-7 + 2x)) = 0
((-7 * -5 + 2x * -5) + 3x * (-7 + 2x)) = 0
((35 + -10x) + 3x * (-7 + 2x)) = 0
(35 + -10x + (-7 * 3x + 2x * 3x)) = 0
(35 + -10x + (-21x + 6x2)) = 0

Combine like terms: -10x + -21x = -31x
(35 + -31x + 6x2) = 0

Solving
35 + -31x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(7 + -2x) = 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 '(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
Solution
x = {1.666666667, 3.5}

See similar equations:

| 12x-x=7+10x-5x+8 | | 6x^2+9x= | | 6+35x=21x+30 | | 3x^3y^3+6x^2y^2-45xy=0 | | (3v+4t)(3v-4t)= | | 55-2x=13-8x | | (4+y)(5y^2-4+4y)= | | 7.5x+45=7.8x | | 2+5x=-10+x | | .33x(3x+9)(x-3)= | | (7-8x)(6+5x)= | | a/5-6=-1 | | 8754-2t^8=0 | | 6c+7c^2=1 | | -6a^2b(6a^4+4ab-b^4)= | | 7c^2+6c-1=0 | | y+5=4x-12 | | y=-.50+6.25 | | -5x+3(1)=15 | | (4-3y+5y^3)-(-4+4y^2-3y^3)= | | 4x+9=-26-3x | | 5x+3-7=4x+8 | | (8x*2+6x-3)-(-2x*2+9x-17)= | | 3+11x=23+x | | (9p^3-5p^2+3p-10)+(4p^3-8p+1)= | | 2(3x+1)-3=6x-1 | | 8-6x=-10 | | -5-8w=11 | | 7p-12=4p-24-9 | | 4X^2+12x+9=6X^2+19 | | (5b^3-2b^2+2b-8)+(5b^3-9b+5)= | | 4(x+5)-3(4+2x)= |

Equations solver categories