(9x-1)(5x-1)=0

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Solution for (9x-1)(5x-1)=0 equation:


Simplifying
(9x + -1)(5x + -1) = 0

Reorder the terms:
(-1 + 9x)(5x + -1) = 0

Reorder the terms:
(-1 + 9x)(-1 + 5x) = 0

Multiply (-1 + 9x) * (-1 + 5x)
(-1(-1 + 5x) + 9x * (-1 + 5x)) = 0
((-1 * -1 + 5x * -1) + 9x * (-1 + 5x)) = 0
((1 + -5x) + 9x * (-1 + 5x)) = 0
(1 + -5x + (-1 * 9x + 5x * 9x)) = 0
(1 + -5x + (-9x + 45x2)) = 0

Combine like terms: -5x + -9x = -14x
(1 + -14x + 45x2) = 0

Solving
1 + -14x + 45x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 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 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111

Subproblem 2

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {0.1111111111, 0.2}

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