(12)a*a-13a=35

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Solution for (12)a*a-13a=35 equation:


Simplifying
(12) * a * a + -13a = 35

Multiply a * a
12a2 + -13a = 35

Reorder the terms:
-13a + 12a2 = 35

Solving
-13a + 12a2 = 35

Solving for variable 'a'.

Reorder the terms:
-35 + -13a + 12a2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -13a + 12a2 = 0

Factor a trinomial.
(-5 + -4a)(7 + -3a) = 0

Subproblem 1

Set the factor '(-5 + -4a)' equal to zero and attempt to solve: Simplifying -5 + -4a = 0 Solving -5 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = 0 + 5 -4a = 0 + 5 Combine like terms: 0 + 5 = 5 -4a = 5 Divide each side by '-4'. a = -1.25 Simplifying a = -1.25

Subproblem 2

Set the factor '(7 + -3a)' equal to zero and attempt to solve: Simplifying 7 + -3a = 0 Solving 7 + -3a = 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 + -3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 0 + -7 -3a = 0 + -7 Combine like terms: 0 + -7 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333

Solution

a = {-1.25, 2.333333333}

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