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Simplifying (7x + 1)(18x + 4) = 0 Reorder the terms: (1 + 7x)(18x + 4) = 0 Reorder the terms: (1 + 7x)(4 + 18x) = 0 Multiply (1 + 7x) * (4 + 18x) (1(4 + 18x) + 7x * (4 + 18x)) = 0 ((4 * 1 + 18x * 1) + 7x * (4 + 18x)) = 0 ((4 + 18x) + 7x * (4 + 18x)) = 0 (4 + 18x + (4 * 7x + 18x * 7x)) = 0 (4 + 18x + (28x + 126x2)) = 0 Combine like terms: 18x + 28x = 46x (4 + 46x + 126x2) = 0 Solving 4 + 46x + 126x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 23x + 63x2) = 0 Factor a trinomial. 2((2 + 9x)(1 + 7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 9x)' equal to zero and attempt to solve: Simplifying 2 + 9x = 0 Solving 2 + 9x = 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 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-0.2222222222, -0.1428571429}
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