10a^2+37a+7=0

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Solution for 10a^2+37a+7=0 equation:


Simplifying
10a2 + 37a + 7 = 0

Reorder the terms:
7 + 37a + 10a2 = 0

Solving
7 + 37a + 10a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + 2a)(1 + 5a) = 0

Subproblem 1

Set the factor '(7 + 2a)' equal to zero and attempt to solve: Simplifying 7 + 2a = 0 Solving 7 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 0 + -7 2a = 0 + -7 Combine like terms: 0 + -7 = -7 2a = -7 Divide each side by '2'. a = -3.5 Simplifying a = -3.5

Subproblem 2

Set the factor '(1 + 5a)' equal to zero and attempt to solve: Simplifying 1 + 5a = 0 Solving 1 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = 0 + -1 5a = 0 + -1 Combine like terms: 0 + -1 = -1 5a = -1 Divide each side by '5'. a = -0.2 Simplifying a = -0.2

Solution

a = {-3.5, -0.2}

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