21a^2-a-10=0

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Solution for 21a^2-a-10=0 equation:


Simplifying
21a2 + -1a + -10 = 0

Reorder the terms:
-10 + -1a + 21a2 = 0

Solving
-10 + -1a + 21a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-2 + -3a)(5 + -7a) = 0

Subproblem 1

Set the factor '(-2 + -3a)' equal to zero and attempt to solve: Simplifying -2 + -3a = 0 Solving -2 + -3a = 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 + -3a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3a = 0 + 2 -3a = 0 + 2 Combine like terms: 0 + 2 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667

Subproblem 2

Set the factor '(5 + -7a)' equal to zero and attempt to solve: Simplifying 5 + -7a = 0 Solving 5 + -7a = 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 + -7a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 0 + -5 -7a = 0 + -5 Combine like terms: 0 + -5 = -5 -7a = -5 Divide each side by '-7'. a = 0.7142857143 Simplifying a = 0.7142857143

Solution

a = {-0.6666666667, 0.7142857143}

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