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Simplifying (-3x + -4)(x + 1) = 0 Reorder the terms: (-4 + -3x)(x + 1) = 0 Reorder the terms: (-4 + -3x)(1 + x) = 0 Multiply (-4 + -3x) * (1 + x) (-4(1 + x) + -3x * (1 + x)) = 0 ((1 * -4 + x * -4) + -3x * (1 + x)) = 0 ((-4 + -4x) + -3x * (1 + x)) = 0 (-4 + -4x + (1 * -3x + x * -3x)) = 0 (-4 + -4x + (-3x + -3x2)) = 0 Combine like terms: -4x + -3x = -7x (-4 + -7x + -3x2) = 0 Solving -4 + -7x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 7x + 3x2) = 0 Factor a trinomial. -1((4 + 3x)(1 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, -1}
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