7r^2+19r+10=0

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Solution for 7r^2+19r+10=0 equation:


Simplifying
7r2 + 19r + 10 = 0

Reorder the terms:
10 + 19r + 7r2 = 0

Solving
10 + 19r + 7r2 = 0

Solving for variable 'r'.

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

Subproblem 1

Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 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 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2

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 = {-2, -0.7142857143}

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