49r^2+56r+16=0

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Solution for 49r^2+56r+16=0 equation:


Simplifying
49r2 + 56r + 16 = 0

Reorder the terms:
16 + 56r + 49r2 = 0

Solving
16 + 56r + 49r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(4 + 7r)(4 + 7r) = 0

Subproblem 1

Set the factor '(4 + 7r)' equal to zero and attempt to solve: Simplifying 4 + 7r = 0 Solving 4 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7r = 0 + -4 7r = 0 + -4 Combine like terms: 0 + -4 = -4 7r = -4 Divide each side by '7'. r = -0.5714285714 Simplifying r = -0.5714285714

Subproblem 2

Set the factor '(4 + 7r)' equal to zero and attempt to solve: Simplifying 4 + 7r = 0 Solving 4 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7r = 0 + -4 7r = 0 + -4 Combine like terms: 0 + -4 = -4 7r = -4 Divide each side by '7'. r = -0.5714285714 Simplifying r = -0.5714285714

Solution

r = {-0.5714285714, -0.5714285714}

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