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Simplifying (6X + -7)(6X + -7) = 0 Reorder the terms: (-7 + 6X)(6X + -7) = 0 Reorder the terms: (-7 + 6X)(-7 + 6X) = 0 Multiply (-7 + 6X) * (-7 + 6X) (-7(-7 + 6X) + 6X * (-7 + 6X)) = 0 ((-7 * -7 + 6X * -7) + 6X * (-7 + 6X)) = 0 ((49 + -42X) + 6X * (-7 + 6X)) = 0 (49 + -42X + (-7 * 6X + 6X * 6X)) = 0 (49 + -42X + (-42X + 36X2)) = 0 Combine like terms: -42X + -42X = -84X (49 + -84X + 36X2) = 0 Solving 49 + -84X + 36X2 = 0 Solving for variable 'X'. Factor a trinomial. (7 + -6X)(7 + -6X) = 0Subproblem 1
Set the factor '(7 + -6X)' equal to zero and attempt to solve: Simplifying 7 + -6X = 0 Solving 7 + -6X = 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 + -6X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6X = 0 + -7 -6X = 0 + -7 Combine like terms: 0 + -7 = -7 -6X = -7 Divide each side by '-6'. X = 1.166666667 Simplifying X = 1.166666667Subproblem 2
Set the factor '(7 + -6X)' equal to zero and attempt to solve: Simplifying 7 + -6X = 0 Solving 7 + -6X = 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 + -6X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6X = 0 + -7 -6X = 0 + -7 Combine like terms: 0 + -7 = -7 -6X = -7 Divide each side by '-6'. X = 1.166666667 Simplifying X = 1.166666667Solution
X = {1.166666667, 1.166666667}
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