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Simplifying (9x + -1)(4x + 2) = 0 Reorder the terms: (-1 + 9x)(4x + 2) = 0 Reorder the terms: (-1 + 9x)(2 + 4x) = 0 Multiply (-1 + 9x) * (2 + 4x) (-1(2 + 4x) + 9x * (2 + 4x)) = 0 ((2 * -1 + 4x * -1) + 9x * (2 + 4x)) = 0 ((-2 + -4x) + 9x * (2 + 4x)) = 0 (-2 + -4x + (2 * 9x + 4x * 9x)) = 0 (-2 + -4x + (18x + 36x2)) = 0 Combine like terms: -4x + 18x = 14x (-2 + 14x + 36x2) = 0 Solving -2 + 14x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 7x + 18x2) = 0 Factor a trinomial. 2((-1 + -2x)(1 + -9x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 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 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111Solution
x = {-0.5, 0.1111111111}
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