(6a-1)(2a+7)=

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Solution for (6a-1)(2a+7)= equation:


Simplifying
(6a + -1)(2a + 7) = 0

Reorder the terms:
(-1 + 6a)(2a + 7) = 0

Reorder the terms:
(-1 + 6a)(7 + 2a) = 0

Multiply (-1 + 6a) * (7 + 2a)
(-1(7 + 2a) + 6a * (7 + 2a)) = 0
((7 * -1 + 2a * -1) + 6a * (7 + 2a)) = 0
((-7 + -2a) + 6a * (7 + 2a)) = 0
(-7 + -2a + (7 * 6a + 2a * 6a)) = 0
(-7 + -2a + (42a + 12a2)) = 0

Combine like terms: -2a + 42a = 40a
(-7 + 40a + 12a2) = 0

Solving
-7 + 40a + 12a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -2a)(1 + -6a) = 0

Subproblem 1

Set the factor '(-7 + -2a)' equal to zero and attempt to solve: Simplifying -7 + -2a = 0 Solving -7 + -2a = 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 + -2a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 0 + 7 -2a = 0 + 7 Combine like terms: 0 + 7 = 7 -2a = 7 Divide each side by '-2'. a = -3.5 Simplifying a = -3.5

Subproblem 2

Set the factor '(1 + -6a)' equal to zero and attempt to solve: Simplifying 1 + -6a = 0 Solving 1 + -6a = 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 + -6a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = 0 + -1 -6a = 0 + -1 Combine like terms: 0 + -1 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667

Solution

a = {-3.5, 0.1666666667}

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