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Simplifying 9(7 + -1x)(x + 1) = 0 Reorder the terms: 9(7 + -1x)(1 + x) = 0 Multiply (7 + -1x) * (1 + x) 9(7(1 + x) + -1x * (1 + x)) = 0 9((1 * 7 + x * 7) + -1x * (1 + x)) = 0 9((7 + 7x) + -1x * (1 + x)) = 0 9(7 + 7x + (1 * -1x + x * -1x)) = 0 9(7 + 7x + (-1x + -1x2)) = 0 Combine like terms: 7x + -1x = 6x 9(7 + 6x + -1x2) = 0 (7 * 9 + 6x * 9 + -1x2 * 9) = 0 (63 + 54x + -9x2) = 0 Solving 63 + 54x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(7 + 6x + -1x2) = 0 Factor a trinomial. 9((7 + -1x)(1 + x)) = 0 Ignore the factor 9.Subproblem 1
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 = 7Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {7, -1}
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