(5x^2-14x+9)=0

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Solution for (5x^2-14x+9)=0 equation:


Simplifying
(5x2 + -14x + 9) = 0

Reorder the terms:
(9 + -14x + 5x2) = 0

Remove parenthesis around (9 + -14x + 5x2)
9 + -14x + 5x2 = 0

Solving
9 + -14x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(9 + -5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8

Solution

x = {1, 1.8}

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