14a^2-8a+21a-12=

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Solution for 14a^2-8a+21a-12= equation:


Simplifying
14a2 + -8a + 21a + -12 = 0

Reorder the terms:
-12 + -8a + 21a + 14a2 = 0

Combine like terms: -8a + 21a = 13a
-12 + 13a + 14a2 = 0

Solving
-12 + 13a + 14a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -2a)(4 + -7a) = 0

Subproblem 1

Set the factor '(-3 + -2a)' equal to zero and attempt to solve: Simplifying -3 + -2a = 0 Solving -3 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2a = 0 + 3 -2a = 0 + 3 Combine like terms: 0 + 3 = 3 -2a = 3 Divide each side by '-2'. a = -1.5 Simplifying a = -1.5

Subproblem 2

Set the factor '(4 + -7a)' equal to zero and attempt to solve: Simplifying 4 + -7a = 0 Solving 4 + -7a = 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 + -7a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7a = 0 + -4 -7a = 0 + -4 Combine like terms: 0 + -4 = -4 -7a = -4 Divide each side by '-7'. a = 0.5714285714 Simplifying a = 0.5714285714

Solution

a = {-1.5, 0.5714285714}

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