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Simplifying (3x + -7)(3x + -7) = 0 Reorder the terms: (-7 + 3x)(3x + -7) = 0 Reorder the terms: (-7 + 3x)(-7 + 3x) = 0 Multiply (-7 + 3x) * (-7 + 3x) (-7(-7 + 3x) + 3x * (-7 + 3x)) = 0 ((-7 * -7 + 3x * -7) + 3x * (-7 + 3x)) = 0 ((49 + -21x) + 3x * (-7 + 3x)) = 0 (49 + -21x + (-7 * 3x + 3x * 3x)) = 0 (49 + -21x + (-21x + 9x2)) = 0 Combine like terms: -21x + -21x = -42x (49 + -42x + 9x2) = 0 Solving 49 + -42x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -3x)(7 + -3x) = 0Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {2.333333333, 2.333333333}
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