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Simplifying (-7x + -1)(1x + 4) = 0 Reorder the terms: (-1 + -7x)(1x + 4) = 0 Reorder the terms: (-1 + -7x)(4 + 1x) = 0 Multiply (-1 + -7x) * (4 + 1x) (-1(4 + 1x) + -7x * (4 + 1x)) = 0 ((4 * -1 + 1x * -1) + -7x * (4 + 1x)) = 0 ((-4 + -1x) + -7x * (4 + 1x)) = 0 (-4 + -1x + (4 * -7x + 1x * -7x)) = 0 (-4 + -1x + (-28x + -7x2)) = 0 Combine like terms: -1x + -28x = -29x (-4 + -29x + -7x2) = 0 Solving -4 + -29x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 29x + 7x2) = 0 Factor a trinomial. -1((4 + x)(1 + 7x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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 = {-4, -0.1428571429}
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