49b^2-112b+64=0

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Solution for 49b^2-112b+64=0 equation:


Simplifying
49b2 + -112b + 64 = 0

Reorder the terms:
64 + -112b + 49b2 = 0

Solving
64 + -112b + 49b2 = 0

Solving for variable 'b'.

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

Subproblem 1

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

Subproblem 2

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

Solution

b = {1.142857143, 1.142857143}

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