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Simplifying (9x + 7)(x + -7) = 0 Reorder the terms: (7 + 9x)(x + -7) = 0 Reorder the terms: (7 + 9x)(-7 + x) = 0 Multiply (7 + 9x) * (-7 + x) (7(-7 + x) + 9x * (-7 + x)) = 0 ((-7 * 7 + x * 7) + 9x * (-7 + x)) = 0 ((-49 + 7x) + 9x * (-7 + x)) = 0 (-49 + 7x + (-7 * 9x + x * 9x)) = 0 (-49 + 7x + (-63x + 9x2)) = 0 Combine like terms: 7x + -63x = -56x (-49 + -56x + 9x2) = 0 Solving -49 + -56x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -9x)(7 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-0.7777777778, 7}
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