9x^2-131x+410=0

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Solution for 9x^2-131x+410=0 equation:


Simplifying
9x2 + -131x + 410 = 0

Reorder the terms:
410 + -131x + 9x2 = 0

Solving
410 + -131x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(41 + -9x)(10 + -1x) = 0

Subproblem 1

Set the factor '(41 + -9x)' equal to zero and attempt to solve: Simplifying 41 + -9x = 0 Solving 41 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -9x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -9x = 0 + -41 -9x = 0 + -41 Combine like terms: 0 + -41 = -41 -9x = -41 Divide each side by '-9'. x = 4.555555556 Simplifying x = 4.555555556

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {4.555555556, 10}

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