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Simplifying (-9x + -7)(-9x + -7) = 0 Reorder the terms: (-7 + -9x)(-9x + -7) = 0 Reorder the terms: (-7 + -9x)(-7 + -9x) = 0 Multiply (-7 + -9x) * (-7 + -9x) (-7(-7 + -9x) + -9x * (-7 + -9x)) = 0 ((-7 * -7 + -9x * -7) + -9x * (-7 + -9x)) = 0 ((49 + 63x) + -9x * (-7 + -9x)) = 0 (49 + 63x + (-7 * -9x + -9x * -9x)) = 0 (49 + 63x + (63x + 81x2)) = 0 Combine like terms: 63x + 63x = 126x (49 + 126x + 81x2) = 0 Solving 49 + 126x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 9x)(7 + 9x) = 0Subproblem 1
Set the factor '(7 + 9x)' equal to zero and attempt to solve: Simplifying 7 + 9x = 0 Solving 7 + 9x = 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 + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 0 + -7 9x = 0 + -7 Combine like terms: 0 + -7 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 2
Set the factor '(7 + 9x)' equal to zero and attempt to solve: Simplifying 7 + 9x = 0 Solving 7 + 9x = 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 + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 0 + -7 9x = 0 + -7 Combine like terms: 0 + -7 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778Solution
x = {-0.7777777778, -0.7777777778}
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