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

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


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

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

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

Multiply (-5 + 7x) * (-3 + 7x)
(-5(-3 + 7x) + 7x * (-3 + 7x)) = 0
((-3 * -5 + 7x * -5) + 7x * (-3 + 7x)) = 0
((15 + -35x) + 7x * (-3 + 7x)) = 0
(15 + -35x + (-3 * 7x + 7x * 7x)) = 0
(15 + -35x + (-21x + 49x2)) = 0

Combine like terms: -35x + -21x = -56x
(15 + -56x + 49x2) = 0

Solving
15 + -56x + 49x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286

Subproblem 2

Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143

Solution

x = {0.4285714286, 0.7142857143}

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