49a^2-112a+64=

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Solution for 49a^2-112a+64= equation:


Simplifying
49a2 + -112a + 64 = 0

Reorder the terms:
64 + -112a + 49a2 = 0

Solving
64 + -112a + 49a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8 + -7a)(8 + -7a) = 0

Subproblem 1

Set the factor '(8 + -7a)' equal to zero and attempt to solve: Simplifying 8 + -7a = 0 Solving 8 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7a = 0 + -8 -7a = 0 + -8 Combine like terms: 0 + -8 = -8 -7a = -8 Divide each side by '-7'. a = 1.142857143 Simplifying a = 1.142857143

Subproblem 2

Set the factor '(8 + -7a)' equal to zero and attempt to solve: Simplifying 8 + -7a = 0 Solving 8 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7a = 0 + -8 -7a = 0 + -8 Combine like terms: 0 + -8 = -8 -7a = -8 Divide each side by '-7'. a = 1.142857143 Simplifying a = 1.142857143

Solution

a = {1.142857143, 1.142857143}

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