4a^2+27a+35=0

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Solution for 4a^2+27a+35=0 equation:


Simplifying
4a2 + 27a + 35 = 0

Reorder the terms:
35 + 27a + 4a2 = 0

Solving
35 + 27a + 4a2 = 0

Solving for variable 'a'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(7 + 4a)' equal to zero and attempt to solve: Simplifying 7 + 4a = 0 Solving 7 + 4a = 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 + 4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 0 + -7 4a = 0 + -7 Combine like terms: 0 + -7 = -7 4a = -7 Divide each side by '4'. a = -1.75 Simplifying a = -1.75

Solution

a = {-5, -1.75}

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