7a^2+53a+28=

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Solution for 7a^2+53a+28= equation:


Simplifying
7a2 + 53a + 28 = 0

Reorder the terms:
28 + 53a + 7a2 = 0

Solving
28 + 53a + 7a2 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 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 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7

Subproblem 2

Set the factor '(4 + 7a)' equal to zero and attempt to solve: Simplifying 4 + 7a = 0 Solving 4 + 7a = 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 + 7a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 0 + -4 7a = 0 + -4 Combine like terms: 0 + -4 = -4 7a = -4 Divide each side by '7'. a = -0.5714285714 Simplifying a = -0.5714285714

Solution

a = {-7, -0.5714285714}

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