(7x-3)(x-4)=0

Solution for (7x-3)(x-4)=0 equation:

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

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

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

Multiply (-3 + 7x) * (-4 + x)
(-3(-4 + x) + 7x * (-4 + x)) = 0
((-4 * -3 + x * -3) + 7x * (-4 + x)) = 0
((12 + -3x) + 7x * (-4 + x)) = 0
(12 + -3x + (-4 * 7x + x * 7x)) = 0
(12 + -3x + (-28x + 7x2)) = 0

Combine like terms: -3x + -28x = -31x
(12 + -31x + 7x2) = 0

Solving
12 + -31x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -7x)(4 + -1x) = 0

Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0.4285714286, 4}