(8a-14)(2a-6)=

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Solution for (8a-14)(2a-6)= equation:


Simplifying
(8a + -14)(2a + -6) = 0
Reorder the terms:
(-14 + 8a)(2a + -6) = 0
Reorder the terms:
(-14 + 8a)(-6 + 2a) = 0
Multiply (-14 + 8a) * (-6 + 2a)
(-14(-6 + 2a) + 8a * (-6 + 2a)) = 0
((-6 * -14 + 2a * -14) + 8a * (-6 + 2a)) = 0
((84 + -28a) + 8a * (-6 + 2a)) = 0
(84 + -28a + (-6 * 8a + 2a * 8a)) = 0
(84 + -28a + (-48a + 16a2)) = 0
Combine like terms: -28a + -48a = -76a
(84 + -76a + 16a2) = 0
Solving
84 + -76a + 16a2 = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '4'.
4(21 + -19a + 4a2) = 0
Factor a trinomial.
4((7 + -4a)(3 + -1a)) = 0
Ignore the factor 4.

Subproblem 1

Set the factor '(7 + -4a)' equal to zero and attempt to solve: Simplifying 7 + -4a = 0 Solving 7 + -4a = 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 + -4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 0 + -7 -4a = 0 + -7 Combine like terms: 0 + -7 = -7 -4a = -7 Divide each side by '-4'. a = 1.75 Simplifying a = 1.75

Subproblem 2

Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 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 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3

Solution

a = {1.75, 3}

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