a^2+8a-57=-9

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Solution for a^2+8a-57=-9 equation:


Simplifying
a2 + 8a + -57 = -9

Reorder the terms:
-57 + 8a + a2 = -9

Solving
-57 + 8a + a2 = -9

Solving for variable 'a'.

Reorder the terms:
-57 + 9 + 8a + a2 = -9 + 9

Combine like terms: -57 + 9 = -48
-48 + 8a + a2 = -9 + 9

Combine like terms: -9 + 9 = 0
-48 + 8a + a2 = 0

Factor a trinomial.
(-12 + -1a)(4 + -1a) = 0

Subproblem 1

Set the factor '(-12 + -1a)' equal to zero and attempt to solve: Simplifying -12 + -1a = 0 Solving -12 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = 0 + 12 -1a = 0 + 12 Combine like terms: 0 + 12 = 12 -1a = 12 Divide each side by '-1'. a = -12 Simplifying a = -12

Subproblem 2

Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 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 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4

Solution

a = {-12, 4}

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