a^2-6a=135

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Solution for a^2-6a=135 equation:


Simplifying
a2 + -6a = 135

Reorder the terms:
-6a + a2 = 135

Solving
-6a + a2 = 135

Solving for variable 'a'.

Reorder the terms:
-135 + -6a + a2 = 135 + -135

Combine like terms: 135 + -135 = 0
-135 + -6a + a2 = 0

Factor a trinomial.
(-9 + -1a)(15 + -1a) = 0

Subproblem 1

Set the factor '(-9 + -1a)' equal to zero and attempt to solve: Simplifying -9 + -1a = 0 Solving -9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1a = 0 + 9 -1a = 0 + 9 Combine like terms: 0 + 9 = 9 -1a = 9 Divide each side by '-1'. a = -9 Simplifying a = -9

Subproblem 2

Set the factor '(15 + -1a)' equal to zero and attempt to solve: Simplifying 15 + -1a = 0 Solving 15 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 0 + -15 -1a = 0 + -15 Combine like terms: 0 + -15 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15

Solution

a = {-9, 15}

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