49r^2-21r-10=0

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Solution for 49r^2-21r-10=0 equation:


Simplifying
49r2 + -21r + -10 = 0

Reorder the terms:
-10 + -21r + 49r2 = 0

Solving
-10 + -21r + 49r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-2 + -7r)(5 + -7r) = 0

Subproblem 1

Set the factor '(-2 + -7r)' equal to zero and attempt to solve: Simplifying -2 + -7r = 0 Solving -2 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7r = 0 + 2 -7r = 0 + 2 Combine like terms: 0 + 2 = 2 -7r = 2 Divide each side by '-7'. r = -0.2857142857 Simplifying r = -0.2857142857

Subproblem 2

Set the factor '(5 + -7r)' equal to zero and attempt to solve: Simplifying 5 + -7r = 0 Solving 5 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7r = 0 + -5 -7r = 0 + -5 Combine like terms: 0 + -5 = -5 -7r = -5 Divide each side by '-7'. r = 0.7142857143 Simplifying r = 0.7142857143

Solution

r = {-0.2857142857, 0.7142857143}

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