40a^2+195a+140=0

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Solution for 40a^2+195a+140=0 equation:


Simplifying
40a2 + 195a + 140 = 0

Reorder the terms:
140 + 195a + 40a2 = 0

Solving
140 + 195a + 40a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5'.
5(28 + 39a + 8a2) = 0

Factor a trinomial.
5((4 + a)(7 + 8a)) = 0

Ignore the factor 5.

Subproblem 1

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

Subproblem 2

Set the factor '(7 + 8a)' equal to zero and attempt to solve: Simplifying 7 + 8a = 0 Solving 7 + 8a = 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 + 8a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8a = 0 + -7 8a = 0 + -7 Combine like terms: 0 + -7 = -7 8a = -7 Divide each side by '8'. a = -0.875 Simplifying a = -0.875

Solution

a = {-4, -0.875}

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