(7a+1)(a+7)=

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


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

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

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

Multiply (1 + 7a) * (7 + a)
(1(7 + a) + 7a * (7 + a)) = 0
((7 * 1 + a * 1) + 7a * (7 + a)) = 0
((7 + 1a) + 7a * (7 + a)) = 0
(7 + 1a + (7 * 7a + a * 7a)) = 0
(7 + 1a + (49a + 7a2)) = 0

Combine like terms: 1a + 49a = 50a
(7 + 50a + 7a2) = 0

Solving
7 + 50a + 7a2 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7

Subproblem 2

Set the factor '(1 + 7a)' equal to zero and attempt to solve: Simplifying 1 + 7a = 0 Solving 1 + 7a = 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 + 7a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 0 + -1 7a = 0 + -1 Combine like terms: 0 + -1 = -1 7a = -1 Divide each side by '7'. a = -0.1428571429 Simplifying a = -0.1428571429

Solution

a = {-7, -0.1428571429}

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