49a^2-28a+4=

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Solution for 49a^2-28a+4= equation:


Simplifying
49a2 + -28a + 4 = 0

Reorder the terms:
4 + -28a + 49a2 = 0

Solving
4 + -28a + 49a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -7a)(2 + -7a) = 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 '(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

Solution

a = {0.2857142857, 0.2857142857}

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