81x^2-27x-40=0

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Solution for 81x^2-27x-40=0 equation:


Simplifying
81x2 + -27x + -40 = 0

Reorder the terms:
-40 + -27x + 81x2 = 0

Solving
-40 + -27x + 81x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -9x)(8 + -9x) = 0

Subproblem 1

Set the factor '(-5 + -9x)' equal to zero and attempt to solve: Simplifying -5 + -9x = 0 Solving -5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 0 + 5 -9x = 0 + 5 Combine like terms: 0 + 5 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556

Subproblem 2

Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889

Solution

x = {-0.5555555556, 0.8888888889}

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