7(5x-3)(2x-1)=

Solution for 7(5x-3)(2x-1)= equation:

Simplifying
7(5x + -3)(2x + -1) = 0

Reorder the terms:
7(-3 + 5x)(2x + -1) = 0

Reorder the terms:
7(-3 + 5x)(-1 + 2x) = 0

Multiply (-3 + 5x) * (-1 + 2x)
7(-3(-1 + 2x) + 5x * (-1 + 2x)) = 0
7((-1 * -3 + 2x * -3) + 5x * (-1 + 2x)) = 0
7((3 + -6x) + 5x * (-1 + 2x)) = 0
7(3 + -6x + (-1 * 5x + 2x * 5x)) = 0
7(3 + -6x + (-5x + 10x2)) = 0

Combine like terms: -6x + -5x = -11x
7(3 + -11x + 10x2) = 0
(3 * 7 + -11x * 7 + 10x2 * 7) = 0
(21 + -77x + 70x2) = 0

Solving
21 + -77x + 70x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(3 + -11x + 10x2) = 0

Factor a trinomial.
7((1 + -2x)(3 + -5x)) = 0

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {0.5, 0.6}