4a^2-20a-11=0

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Solution for 4a^2-20a-11=0 equation:


Simplifying
4a2 + -20a + -11 = 0

Reorder the terms:
-11 + -20a + 4a2 = 0

Solving
-11 + -20a + 4a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1 + -2a)(11 + -2a) = 0

Subproblem 1

Set the factor '(-1 + -2a)' equal to zero and attempt to solve: Simplifying -1 + -2a = 0 Solving -1 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2a = 0 + 1 -2a = 0 + 1 Combine like terms: 0 + 1 = 1 -2a = 1 Divide each side by '-2'. a = -0.5 Simplifying a = -0.5

Subproblem 2

Set the factor '(11 + -2a)' equal to zero and attempt to solve: Simplifying 11 + -2a = 0 Solving 11 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2a = 0 + -11 -2a = 0 + -11 Combine like terms: 0 + -11 = -11 -2a = -11 Divide each side by '-2'. a = 5.5 Simplifying a = 5.5

Solution

a = {-0.5, 5.5}

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