(7a+2)(a-1)=

Solution for (7a+2)(a-1)= equation:

Simplifying
(7a + 2)(a + -1) = 0

Reorder the terms:
(2 + 7a)(a + -1) = 0

Reorder the terms:
(2 + 7a)(-1 + a) = 0

Multiply (2 + 7a) * (-1 + a)
(2(-1 + a) + 7a * (-1 + a)) = 0
((-1 * 2 + a * 2) + 7a * (-1 + a)) = 0
((-2 + 2a) + 7a * (-1 + a)) = 0
(-2 + 2a + (-1 * 7a + a * 7a)) = 0
(-2 + 2a + (-7a + 7a2)) = 0

Combine like terms: 2a + -7a = -5a
(-2 + -5a + 7a2) = 0

Solving
-2 + -5a + 7a2 = 0

Solving for variable 'a'.

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

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

Simplifying
-2 + -7a = 0

Solving
-2 + -7a = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7a = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7a = 0 + 2
-7a = 0 + 2

Combine like terms: 0 + 2 = 2
-7a = 2

Divide each side by '-7'.
a = -0.2857142857

Simplifying
a = -0.2857142857
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 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 + -1a = 0 + -1

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

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

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Solution
a = {-0.2857142857, 1}