(7x-1)(5x-3)=0

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Solution for (7x-1)(5x-3)=0 equation:


Simplifying
(7x + -1)(5x + -3) = 0

Reorder the terms:
(-1 + 7x)(5x + -3) = 0

Reorder the terms:
(-1 + 7x)(-3 + 5x) = 0

Multiply (-1 + 7x) * (-3 + 5x)
(-1(-3 + 5x) + 7x * (-3 + 5x)) = 0
((-3 * -1 + 5x * -1) + 7x * (-3 + 5x)) = 0
((3 + -5x) + 7x * (-3 + 5x)) = 0
(3 + -5x + (-3 * 7x + 5x * 7x)) = 0
(3 + -5x + (-21x + 35x2)) = 0

Combine like terms: -5x + -21x = -26x
(3 + -26x + 35x2) = 0

Solving
3 + -26x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -7x)(3 + -5x) = 0

Subproblem 1

Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429

Subproblem 2

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {0.1428571429, 0.6}

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