(7x-7)(7x-7)=0

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


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

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

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

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

Combine like terms: -49x + -49x = -98x
(49 + -98x + 49x2) = 0

Solving
49 + -98x + 49x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '49'.
49(1 + -2x + x2) = 0

Factor a trinomial.
49((1 + -1x)(1 + -1x)) = 0

Ignore the factor 49.

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 '(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

Solution

x = {1, 1}

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