a(a-5)=14

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Solution for a(a-5)=14 equation:


Simplifying
a(a + -5) = 14

Reorder the terms:
a(-5 + a) = 14
(-5 * a + a * a) = 14
(-5a + a2) = 14

Solving
-5a + a2 = 14

Solving for variable 'a'.

Reorder the terms:
-14 + -5a + a2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + -5a + a2 = 0

Factor a trinomial.
(-2 + -1a)(7 + -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 '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 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 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7

Solution

a = {-2, 7}

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