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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 = 1Subproblem 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 = 1Solution
x = {1, 1}
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