6a^2-17a+7=0

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Solution for 6a^2-17a+7=0 equation:


Simplifying
6a2 + -17a + 7 = 0

Reorder the terms:
7 + -17a + 6a2 = 0

Solving
7 + -17a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -2a)(7 + -3a) = 0

Subproblem 1

Set the factor '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 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 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5

Subproblem 2

Set the factor '(7 + -3a)' equal to zero and attempt to solve: Simplifying 7 + -3a = 0 Solving 7 + -3a = 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 + -3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 0 + -7 -3a = 0 + -7 Combine like terms: 0 + -7 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333

Solution

a = {0.5, 2.333333333}

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