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Simplifying (7x + 2)(-1x + -9) = 0 Reorder the terms: (2 + 7x)(-1x + -9) = 0 Reorder the terms: (2 + 7x)(-9 + -1x) = 0 Multiply (2 + 7x) * (-9 + -1x) (2(-9 + -1x) + 7x * (-9 + -1x)) = 0 ((-9 * 2 + -1x * 2) + 7x * (-9 + -1x)) = 0 ((-18 + -2x) + 7x * (-9 + -1x)) = 0 (-18 + -2x + (-9 * 7x + -1x * 7x)) = 0 (-18 + -2x + (-63x + -7x2)) = 0 Combine like terms: -2x + -63x = -65x (-18 + -65x + -7x2) = 0 Solving -18 + -65x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 65x + 7x2) = 0 Factor a trinomial. -1((9 + x)(2 + 7x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {-9, -0.2857142857}
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