(3x-5)(4x-7)=

Simple and best practice solution for (3x-5)(4x-7)= 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)(4x-7)= equation: 


Simplifying
(3x + -5)(4x + -7) = 0

Reorder the terms:
(-5 + 3x)(4x + -7) = 0

Reorder the terms:
(-5 + 3x)(-7 + 4x) = 0

Multiply (-5 + 3x) * (-7 + 4x)
(-5(-7 + 4x) + 3x * (-7 + 4x)) = 0
((-7 * -5 + 4x * -5) + 3x * (-7 + 4x)) = 0
((35 + -20x) + 3x * (-7 + 4x)) = 0
(35 + -20x + (-7 * 3x + 4x * 3x)) = 0
(35 + -20x + (-21x + 12x2)) = 0

Combine like terms: -20x + -21x = -41x
(35 + -41x + 12x2) = 0

Solving
35 + -41x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(7 + -4x) = 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 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {1.666666667, 1.75}

See similar equations:

| 15x+(-10)=-85 | | .005*197= | | .995-3= | | .005*197+.995*-3= | | 11x+44=13x-26 | | 5(x-6)+2x-10= | | 8.2x+87.13=-11.8x+86.63 | | x^2(x-7)=0 | | a^4+b^4=c^4 | | 6-2x=0 | | y=-4x-20 | | 5x-(2x+2)=x+3x-5 | | -9=5x+2 | | 6.6x-2.8=3.8 | | 2y+7=3y-3 | | 5+6=11 | | 2(y-6)=7+4(y+16) | | y+x^2=7X | | 33=24x+21 | | 4(4x-2.3)=7x-9.2 | | 9x^2+x^2=100 | | 10x^2=100 | | -36=-6x | | x^3-13*x^2+37*x-24=0 | | h=30+40t-5t^2 | | 3-27x^2=0 | | -18=3x | | 0.83y=3 | | (4r-3)(5r-5)= | | 4x^2-51x=40 | | 7+x=-12 | | x-29=5 |

Equations solver categories