(7x-5)(7x-5)=

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


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

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

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

Multiply (-5 + 7x) * (-5 + 7x)
(-5(-5 + 7x) + 7x * (-5 + 7x)) = 0
((-5 * -5 + 7x * -5) + 7x * (-5 + 7x)) = 0
((25 + -35x) + 7x * (-5 + 7x)) = 0
(25 + -35x + (-5 * 7x + 7x * 7x)) = 0
(25 + -35x + (-35x + 49x2)) = 0

Combine like terms: -35x + -35x = -70x
(25 + -70x + 49x2) = 0

Solving
25 + -70x + 49x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

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 = {0.7142857143, 0.7142857143}

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