a^2-16a-29=7

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Solution for a^2-16a-29=7 equation:


Simplifying
a2 + -16a + -29 = 7

Reorder the terms:
-29 + -16a + a2 = 7

Solving
-29 + -16a + a2 = 7

Solving for variable 'a'.

Reorder the terms:
-29 + -7 + -16a + a2 = 7 + -7

Combine like terms: -29 + -7 = -36
-36 + -16a + a2 = 7 + -7

Combine like terms: 7 + -7 = 0
-36 + -16a + a2 = 0

Factor a trinomial.
(-2 + -1a)(18 + -1a) = 0

Subproblem 1

Set the factor '(-2 + -1a)' equal to zero and attempt to solve: Simplifying -2 + -1a = 0 Solving -2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2

Subproblem 2

Set the factor '(18 + -1a)' equal to zero and attempt to solve: Simplifying 18 + -1a = 0 Solving 18 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 0 + -18 -1a = 0 + -18 Combine like terms: 0 + -18 = -18 -1a = -18 Divide each side by '-1'. a = 18 Simplifying a = 18

Solution

a = {-2, 18}

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