(10a-1)(7a-3)=

Solution for (10a-1)(7a-3)= equation:

Simplifying
(10a + -1)(7a + -3) = 0

Reorder the terms:
(-1 + 10a)(7a + -3) = 0

Reorder the terms:
(-1 + 10a)(-3 + 7a) = 0

Multiply (-1 + 10a) * (-3 + 7a)
(-1(-3 + 7a) + 10a * (-3 + 7a)) = 0
((-3 * -1 + 7a * -1) + 10a * (-3 + 7a)) = 0
((3 + -7a) + 10a * (-3 + 7a)) = 0
(3 + -7a + (-3 * 10a + 7a * 10a)) = 0
(3 + -7a + (-30a + 70a2)) = 0

Combine like terms: -7a + -30a = -37a
(3 + -37a + 70a2) = 0

Solving
3 + -37a + 70a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -10a)(3 + -7a) = 0

Subproblem 1
Set the factor '(1 + -10a)' equal to zero and attempt to solve:

Simplifying
1 + -10a = 0

Solving
1 + -10a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -10a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10a = 0 + -1
-10a = 0 + -1

Combine like terms: 0 + -1 = -1
-10a = -1

Divide each side by '-10'.
a = 0.1

Simplifying
a = 0.1
Subproblem 2
Set the factor '(3 + -7a)' equal to zero and attempt to solve:

Simplifying
3 + -7a = 0

Solving
3 + -7a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7a = 0 + -3

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

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

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

Simplifying
a = 0.4285714286
Solution
a = {0.1, 0.4285714286}