7x^2-14x=-7

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Solution for 7x^2-14x=-7 equation:


Simplifying
7x2 + -14x = -7

Reorder the terms:
-14x + 7x2 = -7

Solving
-14x + 7x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + -14x + 7x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -14x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(1 + -2x + x2) = 0

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

Ignore the factor 7.

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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